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Finding the Fourth Proportional to 17,873.14, 24,664.75 and 9,915.16

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Solution

The fourth proportional to 17,873.14, 24,664.75 and 9,915.16 is: 13,682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,873.14 : 24,664.75 = 9,915.16 : x
  2. Step 2: Convert to fraction form
    17,873.14/24,664.75 = 9,915.16/x
  3. Step 3: Cross multiply
    17,873.14x = 24,664.75 × 9,915.16
  4. Step 4: Simplify right side
    17,873.14x = 244,554,942.61
  5. Step 5: Solve for x
    x = 244,554,942.61/17,873.14
  6. Step 6: Final answer
    x = 13,682.82

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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.