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Finding the Fourth Proportional to 15,126, 22,689 and 5,898.48

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Solution

The fourth proportional to 15,126, 22,689 and 5,898.48 is: 8,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,126 : 22,689 = 5,898.48 : x
  2. Step 2: Convert to fraction form
    15,126/22,689 = 5,898.48/x
  3. Step 3: Cross multiply
    15,126x = 22,689 × 5,898.48
  4. Step 4: Simplify right side
    15,126x = 133,830,612.72
  5. Step 5: Solve for x
    x = 133,830,612.72/15,126
  6. Step 6: Final answer
    x = 8,847.72

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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.