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Finding the Fourth Proportional to 16,641.68, 22,965.24 and 9,189.68

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Solution

The fourth proportional to 16,641.68, 22,965.24 and 9,189.68 is: 12,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,641.68 : 22,965.24 = 9,189.68 : x
  2. Step 2: Convert to fraction form
    16,641.68/22,965.24 = 9,189.68/x
  3. Step 3: Cross multiply
    16,641.68x = 22,965.24 × 9,189.68
  4. Step 4: Simplify right side
    16,641.68x = 211,043,206.72
  5. Step 5: Solve for x
    x = 211,043,206.72/16,641.68
  6. Step 6: Final answer
    x = 12,681.60

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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.