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Finding the Fourth Proportional to 24,825.40, 37,140.90 and 16,077.40

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Solution

The fourth proportional to 24,825.40, 37,140.90 and 16,077.40 is: 24,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,825.40 : 37,140.90 = 16,077.40 : x
  2. Step 2: Convert to fraction form
    24,825.40/37,140.90 = 16,077.40/x
  3. Step 3: Cross multiply
    24,825.40x = 37,140.90 × 16,077.40
  4. Step 4: Simplify right side
    24,825.40x = 597,129,105.66
  5. Step 5: Solve for x
    x = 597,129,105.66/24,825.40
  6. Step 6: Final answer
    x = 24,053.15

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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.