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Finding the Fourth Proportional to 22,678.11, 34,032.65 and 7,886.88

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Solution

The fourth proportional to 22,678.11, 34,032.65 and 7,886.88 is: 11,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678.11 : 34,032.65 = 7,886.88 : x
  2. Step 2: Convert to fraction form
    22,678.11/34,032.65 = 7,886.88/x
  3. Step 3: Cross multiply
    22,678.11x = 34,032.65 × 7,886.88
  4. Step 4: Simplify right side
    22,678.11x = 268,411,387.20
  5. Step 5: Solve for x
    x = 268,411,387.20/22,678.11
  6. Step 6: Final answer
    x = 11,835.70

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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.