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Finding the Fourth Proportional to 17,762.25, 24,509.11 and 10,207.12

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Solution

The fourth proportional to 17,762.25, 24,509.11 and 10,207.12 is: 14,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.25 : 24,509.11 = 10,207.12 : x
  2. Step 2: Convert to fraction form
    17,762.25/24,509.11 = 10,207.12/x
  3. Step 3: Cross multiply
    17,762.25x = 24,509.11 × 10,207.12
  4. Step 4: Simplify right side
    17,762.25x = 250,167,426.86
  5. Step 5: Solve for x
    x = 250,167,426.86/17,762.25
  6. Step 6: Final answer
    x = 14,084.22

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