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Finding the Fourth Proportional to 24,456.16, 36,654 and 13,935

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Solution

The fourth proportional to 24,456.16, 36,654 and 13,935 is: 20,885.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,456.16 : 36,654 = 13,935 : x
  2. Step 2: Convert to fraction form
    24,456.16/36,654 = 13,935/x
  3. Step 3: Cross multiply
    24,456.16x = 36,654 × 13,935
  4. Step 4: Simplify right side
    24,456.16x = 510,773,490
  5. Step 5: Solve for x
    x = 510,773,490/24,456.16
  6. Step 6: Final answer
    x = 20,885.27

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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.