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Finding the Fourth Proportional to 23,689.72, 32,683.50 and 14,127.16

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Solution

The fourth proportional to 23,689.72, 32,683.50 and 14,127.16 is: 19,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.72 : 32,683.50 = 14,127.16 : x
  2. Step 2: Convert to fraction form
    23,689.72/32,683.50 = 14,127.16/x
  3. Step 3: Cross multiply
    23,689.72x = 32,683.50 × 14,127.16
  4. Step 4: Simplify right side
    23,689.72x = 461,725,033.86
  5. Step 5: Solve for x
    x = 461,725,033.86/23,689.72
  6. Step 6: Final answer
    x = 19,490.52

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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.