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Finding the Fourth Proportional to 24,123.60, 36,163.80 and 15,807.60

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Solution

The fourth proportional to 24,123.60, 36,163.80 and 15,807.60 is: 23,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,123.60 : 36,163.80 = 15,807.60 : x
  2. Step 2: Convert to fraction form
    24,123.60/36,163.80 = 15,807.60/x
  3. Step 3: Cross multiply
    24,123.60x = 36,163.80 × 15,807.60
  4. Step 4: Simplify right side
    24,123.60x = 571,662,884.88
  5. Step 5: Solve for x
    x = 571,662,884.88/24,123.60
  6. Step 6: Final answer
    x = 23,697.25

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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.