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Finding the Fourth Proportional to 22,746.65, 34,123.68 and 7,160.63

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Solution

The fourth proportional to 22,746.65, 34,123.68 and 7,160.63 is: 10,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,746.65 : 34,123.68 = 7,160.63 : x
  2. Step 2: Convert to fraction form
    22,746.65/34,123.68 = 7,160.63/x
  3. Step 3: Cross multiply
    22,746.65x = 34,123.68 × 7,160.63
  4. Step 4: Simplify right side
    22,746.65x = 244,346,876.10
  5. Step 5: Solve for x
    x = 244,346,876.10/22,746.65
  6. Step 6: Final answer
    x = 10,742.11

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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.