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Finding the Fourth Proportional to 23,624.98, 32,591.10 and 14,683

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Solution

The fourth proportional to 23,624.98, 32,591.10 and 14,683 is: 20,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,624.98 : 32,591.10 = 14,683 : x
  2. Step 2: Convert to fraction form
    23,624.98/32,591.10 = 14,683/x
  3. Step 3: Cross multiply
    23,624.98x = 32,591.10 × 14,683
  4. Step 4: Simplify right side
    23,624.98x = 478,535,121.30
  5. Step 5: Solve for x
    x = 478,535,121.30/23,624.98
  6. Step 6: Final answer
    x = 20,255.47

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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.