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Finding the Fourth Proportional to 15,304.87, 22,942.62 and 5,438.77

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Solution

The fourth proportional to 15,304.87, 22,942.62 and 5,438.77 is: 8,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,304.87 : 22,942.62 = 5,438.77 : x
  2. Step 2: Convert to fraction form
    15,304.87/22,942.62 = 5,438.77/x
  3. Step 3: Cross multiply
    15,304.87x = 22,942.62 × 5,438.77
  4. Step 4: Simplify right side
    15,304.87x = 124,779,633.38
  5. Step 5: Solve for x
    x = 124,779,633.38/15,304.87
  6. Step 6: Final answer
    x = 8,152.94

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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.