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Finding the Fourth Proportional to 14,617.90, 21,916.68 and 6,295.42

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Solution

The fourth proportional to 14,617.90, 21,916.68 and 6,295.42 is: 9,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.90 : 21,916.68 = 6,295.42 : x
  2. Step 2: Convert to fraction form
    14,617.90/21,916.68 = 6,295.42/x
  3. Step 3: Cross multiply
    14,617.90x = 21,916.68 × 6,295.42
  4. Step 4: Simplify right side
    14,617.90x = 137,974,705.61
  5. Step 5: Solve for x
    x = 137,974,705.61/14,617.90
  6. Step 6: Final answer
    x = 9,438.75

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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.