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Finding the Fourth Proportional to 23,663.48, 32,671.96 and 14,715

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Solution

The fourth proportional to 23,663.48, 32,671.96 and 14,715 is: 20,316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,663.48 : 32,671.96 = 14,715 : x
  2. Step 2: Convert to fraction form
    23,663.48/32,671.96 = 14,715/x
  3. Step 3: Cross multiply
    23,663.48x = 32,671.96 × 14,715
  4. Step 4: Simplify right side
    23,663.48x = 480,767,854.61
  5. Step 5: Solve for x
    x = 480,767,854.61/23,663.48
  6. Step 6: Final answer
    x = 20,316.87

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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.