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Finding the Fourth Proportional to 16,000.30, 24,000.45 and 10,459.90

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Solution

The fourth proportional to 16,000.30, 24,000.45 and 10,459.90 is: 15,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.30 : 24,000.45 = 10,459.90 : x
  2. Step 2: Convert to fraction form
    16,000.30/24,000.45 = 10,459.90/x
  3. Step 3: Cross multiply
    16,000.30x = 24,000.45 × 10,459.90
  4. Step 4: Simplify right side
    16,000.30x = 251,042,306.96
  5. Step 5: Solve for x
    x = 251,042,306.96/16,000.30
  6. Step 6: Final answer
    x = 15,689.85

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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.