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Finding the Fourth Proportional to 22,787.03, 34,184.19 and 9,643.16

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Solution

The fourth proportional to 22,787.03, 34,184.19 and 9,643.16 is: 14,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,787.03 : 34,184.19 = 9,643.16 : x
  2. Step 2: Convert to fraction form
    22,787.03/34,184.19 = 9,643.16/x
  3. Step 3: Cross multiply
    22,787.03x = 34,184.19 × 9,643.16
  4. Step 4: Simplify right side
    22,787.03x = 329,643,613.64
  5. Step 5: Solve for x
    x = 329,643,613.64/22,787.03
  6. Step 6: Final answer
    x = 14,466.28

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Why These Related Problems?

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