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Finding the Fourth Proportional to 24,312.78, 36,469.14 and 8,730.42

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Solution

The fourth proportional to 24,312.78, 36,469.14 and 8,730.42 is: 13,095.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.78 : 36,469.14 = 8,730.42 : x
  2. Step 2: Convert to fraction form
    24,312.78/36,469.14 = 8,730.42/x
  3. Step 3: Cross multiply
    24,312.78x = 36,469.14 × 8,730.42
  4. Step 4: Simplify right side
    24,312.78x = 318,390,909.24
  5. Step 5: Solve for x
    x = 318,390,909.24/24,312.78
  6. Step 6: Final answer
    x = 13,095.62

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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.