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Finding the Fourth Proportional to 15,314.92, 22,957.80 and 4,919.38

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Solution

The fourth proportional to 15,314.92, 22,957.80 and 4,919.38 is: 7,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.92 : 22,957.80 = 4,919.38 : x
  2. Step 2: Convert to fraction form
    15,314.92/22,957.80 = 4,919.38/x
  3. Step 3: Cross multiply
    15,314.92x = 22,957.80 × 4,919.38
  4. Step 4: Simplify right side
    15,314.92x = 112,938,142.16
  5. Step 5: Solve for x
    x = 112,938,142.16/15,314.92
  6. Step 6: Final answer
    x = 7,374.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.