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Finding the Fourth Proportional to 16,539.68, 22,824.23 and 9,465.95

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Solution

The fourth proportional to 16,539.68, 22,824.23 and 9,465.95 is: 13,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.68 : 22,824.23 = 9,465.95 : x
  2. Step 2: Convert to fraction form
    16,539.68/22,824.23 = 9,465.95/x
  3. Step 3: Cross multiply
    16,539.68x = 22,824.23 × 9,465.95
  4. Step 4: Simplify right side
    16,539.68x = 216,052,858.52
  5. Step 5: Solve for x
    x = 216,052,858.52/16,539.68
  6. Step 6: Final answer
    x = 13,062.70

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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.