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Finding the Fourth Proportional to 23,684.42, 32,683.66 and 14,251.16

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Solution

The fourth proportional to 23,684.42, 32,683.66 and 14,251.16 is: 19,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.42 : 32,683.66 = 14,251.16 : x
  2. Step 2: Convert to fraction form
    23,684.42/32,683.66 = 14,251.16/x
  3. Step 3: Cross multiply
    23,684.42x = 32,683.66 × 14,251.16
  4. Step 4: Simplify right side
    23,684.42x = 465,780,114.13
  5. Step 5: Solve for x
    x = 465,780,114.13/23,684.42
  6. Step 6: Final answer
    x = 19,666.10

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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.