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Finding the Fourth Proportional to 19,616.16, 29,422.62 and 9,084

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Solution

The fourth proportional to 19,616.16, 29,422.62 and 9,084 is: 13,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.16 : 29,422.62 = 9,084 : x
  2. Step 2: Convert to fraction form
    19,616.16/29,422.62 = 9,084/x
  3. Step 3: Cross multiply
    19,616.16x = 29,422.62 × 9,084
  4. Step 4: Simplify right side
    19,616.16x = 267,275,080.08
  5. Step 5: Solve for x
    x = 267,275,080.08/19,616.16
  6. Step 6: Final answer
    x = 13,625.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.