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Finding the Fourth Proportional to 24,353.60, 36,544.80 and 16,057.60

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Solution

The fourth proportional to 24,353.60, 36,544.80 and 16,057.60 is: 24,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,353.60 : 36,544.80 = 16,057.60 : x
  2. Step 2: Convert to fraction form
    24,353.60/36,544.80 = 16,057.60/x
  3. Step 3: Cross multiply
    24,353.60x = 36,544.80 × 16,057.60
  4. Step 4: Simplify right side
    24,353.60x = 586,821,780.48
  5. Step 5: Solve for x
    x = 586,821,780.48/24,353.60
  6. Step 6: Final answer
    x = 24,095.89

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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.