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Finding the Fourth Proportional to 12,651.71, 17,456.24 and 9,814.07

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Solution

The fourth proportional to 12,651.71, 17,456.24 and 9,814.07 is: 13,541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651.71 : 17,456.24 = 9,814.07 : x
  2. Step 2: Convert to fraction form
    12,651.71/17,456.24 = 9,814.07/x
  3. Step 3: Cross multiply
    12,651.71x = 17,456.24 × 9,814.07
  4. Step 4: Simplify right side
    12,651.71x = 171,316,829.47
  5. Step 5: Solve for x
    x = 171,316,829.47/12,651.71
  6. Step 6: Final answer
    x = 13,541.01

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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.