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Finding the Fourth Proportional to 23,129.84, 34,714.20 and 9,992.24

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Solution

The fourth proportional to 23,129.84, 34,714.20 and 9,992.24 is: 14,996.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129.84 : 34,714.20 = 9,992.24 : x
  2. Step 2: Convert to fraction form
    23,129.84/34,714.20 = 9,992.24/x
  3. Step 3: Cross multiply
    23,129.84x = 34,714.20 × 9,992.24
  4. Step 4: Simplify right side
    23,129.84x = 346,872,617.81
  5. Step 5: Solve for x
    x = 346,872,617.81/23,129.84
  6. Step 6: Final answer
    x = 14,996.76

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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.