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Finding the Fourth Proportional to 24,506.22, 36,712.96 and 14,481

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Solution

The fourth proportional to 24,506.22, 36,712.96 and 14,481 is: 21,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.22 : 36,712.96 = 14,481 : x
  2. Step 2: Convert to fraction form
    24,506.22/36,712.96 = 14,481/x
  3. Step 3: Cross multiply
    24,506.22x = 36,712.96 × 14,481
  4. Step 4: Simplify right side
    24,506.22x = 531,640,373.76
  5. Step 5: Solve for x
    x = 531,640,373.76/24,506.22
  6. Step 6: Final answer
    x = 21,694.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.