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Finding the Fourth Proportional to 23,873.25, 32,949.90 and 13,802.10

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Solution

The fourth proportional to 23,873.25, 32,949.90 and 13,802.10 is: 19,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,873.25 : 32,949.90 = 13,802.10 : x
  2. Step 2: Convert to fraction form
    23,873.25/32,949.90 = 13,802.10/x
  3. Step 3: Cross multiply
    23,873.25x = 32,949.90 × 13,802.10
  4. Step 4: Simplify right side
    23,873.25x = 454,777,814.79
  5. Step 5: Solve for x
    x = 454,777,814.79/23,873.25
  6. Step 6: Final answer
    x = 19,049.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.