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Finding the Fourth Proportional to 16,412.10, 22,645.04 and 9,693.14

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Solution

The fourth proportional to 16,412.10, 22,645.04 and 9,693.14 is: 13,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.10 : 22,645.04 = 9,693.14 : x
  2. Step 2: Convert to fraction form
    16,412.10/22,645.04 = 9,693.14/x
  3. Step 3: Cross multiply
    16,412.10x = 22,645.04 × 9,693.14
  4. Step 4: Simplify right side
    16,412.10x = 219,501,543.03
  5. Step 5: Solve for x
    x = 219,501,543.03/16,412.10
  6. Step 6: Final answer
    x = 13,374.37

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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.