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Finding the Fourth Proportional to 15,110.16, 22,652.24 and 5,744.96

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Solution

The fourth proportional to 15,110.16, 22,652.24 and 5,744.96 is: 8,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,110.16 : 22,652.24 = 5,744.96 : x
  2. Step 2: Convert to fraction form
    15,110.16/22,652.24 = 5,744.96/x
  3. Step 3: Cross multiply
    15,110.16x = 22,652.24 × 5,744.96
  4. Step 4: Simplify right side
    15,110.16x = 130,136,212.71
  5. Step 5: Solve for x
    x = 130,136,212.71/15,110.16
  6. Step 6: Final answer
    x = 8,612.50

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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.