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Finding the Fourth Proportional to 24,729.60, 37,094.40 and 9,158.40

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Solution

The fourth proportional to 24,729.60, 37,094.40 and 9,158.40 is: 13,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,729.60 : 37,094.40 = 9,158.40 : x
  2. Step 2: Convert to fraction form
    24,729.60/37,094.40 = 9,158.40/x
  3. Step 3: Cross multiply
    24,729.60x = 37,094.40 × 9,158.40
  4. Step 4: Simplify right side
    24,729.60x = 339,725,352.96
  5. Step 5: Solve for x
    x = 339,725,352.96/24,729.60
  6. Step 6: Final answer
    x = 13,737.60

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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.