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Finding the Fourth Proportional to 17,873.79, 26,802.15 and 10,480.50

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Solution

The fourth proportional to 17,873.79, 26,802.15 and 10,480.50 is: 15,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,873.79 : 26,802.15 = 10,480.50 : x
  2. Step 2: Convert to fraction form
    17,873.79/26,802.15 = 10,480.50/x
  3. Step 3: Cross multiply
    17,873.79x = 26,802.15 × 10,480.50
  4. Step 4: Simplify right side
    17,873.79x = 280,899,933.08
  5. Step 5: Solve for x
    x = 280,899,933.08/17,873.79
  6. Step 6: Final answer
    x = 15,715.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.