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Finding the Fourth Proportional to 24,189.69, 36,298.53 and 10,148.46

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Solution

The fourth proportional to 24,189.69, 36,298.53 and 10,148.46 is: 15,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189.69 : 36,298.53 = 10,148.46 : x
  2. Step 2: Convert to fraction form
    24,189.69/36,298.53 = 10,148.46/x
  3. Step 3: Cross multiply
    24,189.69x = 36,298.53 × 10,148.46
  4. Step 4: Simplify right side
    24,189.69x = 368,374,179.76
  5. Step 5: Solve for x
    x = 368,374,179.76/24,189.69
  6. Step 6: Final answer
    x = 15,228.56

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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.