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Finding the Fourth Proportional to 15,158.68, 22,738.02 and 9,898.03

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Solution

The fourth proportional to 15,158.68, 22,738.02 and 9,898.03 is: 14,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,158.68 : 22,738.02 = 9,898.03 : x
  2. Step 2: Convert to fraction form
    15,158.68/22,738.02 = 9,898.03/x
  3. Step 3: Cross multiply
    15,158.68x = 22,738.02 × 9,898.03
  4. Step 4: Simplify right side
    15,158.68x = 225,061,595.41
  5. Step 5: Solve for x
    x = 225,061,595.41/15,158.68
  6. Step 6: Final answer
    x = 14,847.05

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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.