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Finding the Fourth Proportional to 14,616.90, 21,915.18 and 6,294.42

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Solution

The fourth proportional to 14,616.90, 21,915.18 and 6,294.42 is: 9,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.90 : 21,915.18 = 6,294.42 : x
  2. Step 2: Convert to fraction form
    14,616.90/21,915.18 = 6,294.42/x
  3. Step 3: Cross multiply
    14,616.90x = 21,915.18 × 6,294.42
  4. Step 4: Simplify right side
    14,616.90x = 137,943,347.30
  5. Step 5: Solve for x
    x = 137,943,347.30/14,616.90
  6. Step 6: Final answer
    x = 9,437.25

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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.