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Finding the Fourth Proportional to 16,618.80, 22,933.84 and 9,065

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Solution

The fourth proportional to 16,618.80, 22,933.84 and 9,065 is: 12,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,618.80 : 22,933.84 = 9,065 : x
  2. Step 2: Convert to fraction form
    16,618.80/22,933.84 = 9,065/x
  3. Step 3: Cross multiply
    16,618.80x = 22,933.84 × 9,065
  4. Step 4: Simplify right side
    16,618.80x = 207,895,259.60
  5. Step 5: Solve for x
    x = 207,895,259.60/16,618.80
  6. Step 6: Final answer
    x = 12,509.64

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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.