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Finding the Fourth Proportional to 14,417.56, 19,899.92 and 9,115.28

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Solution

The fourth proportional to 14,417.56, 19,899.92 and 9,115.28 is: 12,581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.56 : 19,899.92 = 9,115.28 : x
  2. Step 2: Convert to fraction form
    14,417.56/19,899.92 = 9,115.28/x
  3. Step 3: Cross multiply
    14,417.56x = 19,899.92 × 9,115.28
  4. Step 4: Simplify right side
    14,417.56x = 181,393,342.78
  5. Step 5: Solve for x
    x = 181,393,342.78/14,417.56
  6. Step 6: Final answer
    x = 12,581.42

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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.