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Finding the Fourth Proportional to 16,539.47, 22,826.43 and 9,468.17

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Solution

The fourth proportional to 16,539.47, 22,826.43 and 9,468.17 is: 13,067.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.47 : 22,826.43 = 9,468.17 : x
  2. Step 2: Convert to fraction form
    16,539.47/22,826.43 = 9,468.17/x
  3. Step 3: Cross multiply
    16,539.47x = 22,826.43 × 9,468.17
  4. Step 4: Simplify right side
    16,539.47x = 216,124,405.60
  5. Step 5: Solve for x
    x = 216,124,405.60/16,539.47
  6. Step 6: Final answer
    x = 13,067.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.