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Finding the Fourth Proportional to 17,617.41, 24,312.78 and 10,542.47

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Solution

The fourth proportional to 17,617.41, 24,312.78 and 10,542.47 is: 14,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.41 : 24,312.78 = 10,542.47 : x
  2. Step 2: Convert to fraction form
    17,617.41/24,312.78 = 10,542.47/x
  3. Step 3: Cross multiply
    17,617.41x = 24,312.78 × 10,542.47
  4. Step 4: Simplify right side
    17,617.41x = 256,316,632.20
  5. Step 5: Solve for x
    x = 256,316,632.20/17,617.41
  6. Step 6: Final answer
    x = 14,549.05

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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.