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Finding the Fourth Proportional to 24,200.40, 36,302.04 and 9,404.40

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Solution

The fourth proportional to 24,200.40, 36,302.04 and 9,404.40 is: 14,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200.40 : 36,302.04 = 9,404.40 : x
  2. Step 2: Convert to fraction form
    24,200.40/36,302.04 = 9,404.40/x
  3. Step 3: Cross multiply
    24,200.40x = 36,302.04 × 9,404.40
  4. Step 4: Simplify right side
    24,200.40x = 341,398,904.98
  5. Step 5: Solve for x
    x = 341,398,904.98/24,200.40
  6. Step 6: Final answer
    x = 14,107.16

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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.