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Finding the Fourth Proportional to 16,987.72, 23,445.86 and 9,914.14

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Solution

The fourth proportional to 16,987.72, 23,445.86 and 9,914.14 is: 13,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,987.72 : 23,445.86 = 9,914.14 : x
  2. Step 2: Convert to fraction form
    16,987.72/23,445.86 = 9,914.14/x
  3. Step 3: Cross multiply
    16,987.72x = 23,445.86 × 9,914.14
  4. Step 4: Simplify right side
    16,987.72x = 232,445,538.46
  5. Step 5: Solve for x
    x = 232,445,538.46/16,987.72
  6. Step 6: Final answer
    x = 13,683.15

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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.