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Finding the Fourth Proportional to 16,500.70, 24,751.05 and 9,502.30

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Solution

The fourth proportional to 16,500.70, 24,751.05 and 9,502.30 is: 14,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.70 : 24,751.05 = 9,502.30 : x
  2. Step 2: Convert to fraction form
    16,500.70/24,751.05 = 9,502.30/x
  3. Step 3: Cross multiply
    16,500.70x = 24,751.05 × 9,502.30
  4. Step 4: Simplify right side
    16,500.70x = 235,191,902.42
  5. Step 5: Solve for x
    x = 235,191,902.42/16,500.70
  6. Step 6: Final answer
    x = 14,253.45

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1.5x scale

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.