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Finding the Fourth Proportional to 24,423.60, 36,636.86 and 9,430.80

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Solution

The fourth proportional to 24,423.60, 36,636.86 and 9,430.80 is: 14,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423.60 : 36,636.86 = 9,430.80 : x
  2. Step 2: Convert to fraction form
    24,423.60/36,636.86 = 9,430.80/x
  3. Step 3: Cross multiply
    24,423.60x = 36,636.86 × 9,430.80
  4. Step 4: Simplify right side
    24,423.60x = 345,514,899.29
  5. Step 5: Solve for x
    x = 345,514,899.29/24,423.60
  6. Step 6: Final answer
    x = 14,146.76

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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.