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Finding the Fourth Proportional to 18,471.80, 27,688.80 and 9,097.40

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Solution

The fourth proportional to 18,471.80, 27,688.80 and 9,097.40 is: 13,636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471.80 : 27,688.80 = 9,097.40 : x
  2. Step 2: Convert to fraction form
    18,471.80/27,688.80 = 9,097.40/x
  3. Step 3: Cross multiply
    18,471.80x = 27,688.80 × 9,097.40
  4. Step 4: Simplify right side
    18,471.80x = 251,896,089.12
  5. Step 5: Solve for x
    x = 251,896,089.12/18,471.80
  6. Step 6: Final answer
    x = 13,636.79

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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.