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Finding the Fourth Proportional to 18,406.47, 27,589.86 and 9,035.58

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Solution

The fourth proportional to 18,406.47, 27,589.86 and 9,035.58 is: 13,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406.47 : 27,589.86 = 9,035.58 : x
  2. Step 2: Convert to fraction form
    18,406.47/27,589.86 = 9,035.58/x
  3. Step 3: Cross multiply
    18,406.47x = 27,589.86 × 9,035.58
  4. Step 4: Simplify right side
    18,406.47x = 249,290,387.22
  5. Step 5: Solve for x
    x = 249,290,387.22/18,406.47
  6. Step 6: Final answer
    x = 13,543.63

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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.