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Finding the Fourth Proportional to 22,937.82, 34,412.13 and 7,142.10

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Solution

The fourth proportional to 22,937.82, 34,412.13 and 7,142.10 is: 10,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,937.82 : 34,412.13 = 7,142.10 : x
  2. Step 2: Convert to fraction form
    22,937.82/34,412.13 = 7,142.10/x
  3. Step 3: Cross multiply
    22,937.82x = 34,412.13 × 7,142.10
  4. Step 4: Simplify right side
    22,937.82x = 245,774,873.67
  5. Step 5: Solve for x
    x = 245,774,873.67/22,937.82
  6. Step 6: Final answer
    x = 10,714.83

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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.