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Finding the Fourth Proportional to 18,513.60, 27,772.80 and 9,158.40

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Solution

The fourth proportional to 18,513.60, 27,772.80 and 9,158.40 is: 13,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,513.60 : 27,772.80 = 9,158.40 : x
  2. Step 2: Convert to fraction form
    18,513.60/27,772.80 = 9,158.40/x
  3. Step 3: Cross multiply
    18,513.60x = 27,772.80 × 9,158.40
  4. Step 4: Simplify right side
    18,513.60x = 254,354,411.52
  5. Step 5: Solve for x
    x = 254,354,411.52/18,513.60
  6. Step 6: Final answer
    x = 13,738.79

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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.