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Finding the Fourth Proportional to 15,884.64, 21,918.48 and 9,169.20

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Solution

The fourth proportional to 15,884.64, 21,918.48 and 9,169.20 is: 12,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.64 : 21,918.48 = 9,169.20 : x
  2. Step 2: Convert to fraction form
    15,884.64/21,918.48 = 9,169.20/x
  3. Step 3: Cross multiply
    15,884.64x = 21,918.48 × 9,169.20
  4. Step 4: Simplify right side
    15,884.64x = 200,974,926.82
  5. Step 5: Solve for x
    x = 200,974,926.82/15,884.64
  6. Step 6: Final answer
    x = 12,652.15

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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.