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Finding the Fourth Proportional to 16,539.39, 22,823.64 and 9,465.66

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Solution

The fourth proportional to 16,539.39, 22,823.64 and 9,465.66 is: 13,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.39 : 22,823.64 = 9,465.66 : x
  2. Step 2: Convert to fraction form
    16,539.39/22,823.64 = 9,465.66/x
  3. Step 3: Cross multiply
    16,539.39x = 22,823.64 × 9,465.66
  4. Step 4: Simplify right side
    16,539.39x = 216,040,816.20
  5. Step 5: Solve for x
    x = 216,040,816.20/16,539.39
  6. Step 6: Final answer
    x = 13,062.20

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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.