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Finding the Fourth Proportional to 24,712.78, 37,077.40 and 16,425.40

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Solution

The fourth proportional to 24,712.78, 37,077.40 and 16,425.40 is: 24,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712.78 : 37,077.40 = 16,425.40 : x
  2. Step 2: Convert to fraction form
    24,712.78/37,077.40 = 16,425.40/x
  3. Step 3: Cross multiply
    24,712.78x = 37,077.40 × 16,425.40
  4. Step 4: Simplify right side
    24,712.78x = 609,011,125.96
  5. Step 5: Solve for x
    x = 609,011,125.96/24,712.78
  6. Step 6: Final answer
    x = 24,643.57

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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.