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Finding the Fourth Proportional to 24,298.80, 36,453.14 and 10,258.86

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Solution

The fourth proportional to 24,298.80, 36,453.14 and 10,258.86 is: 15,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,298.80 : 36,453.14 = 10,258.86 : x
  2. Step 2: Convert to fraction form
    24,298.80/36,453.14 = 10,258.86/x
  3. Step 3: Cross multiply
    24,298.80x = 36,453.14 × 10,258.86
  4. Step 4: Simplify right side
    24,298.80x = 373,967,608.53
  5. Step 5: Solve for x
    x = 373,967,608.53/24,298.80
  6. Step 6: Final answer
    x = 15,390.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.