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Finding the Fourth Proportional to 14,644.10, 21,966.15 and 9,719.30

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Solution

The fourth proportional to 14,644.10, 21,966.15 and 9,719.30 is: 14,578.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.10 : 21,966.15 = 9,719.30 : x
  2. Step 2: Convert to fraction form
    14,644.10/21,966.15 = 9,719.30/x
  3. Step 3: Cross multiply
    14,644.10x = 21,966.15 × 9,719.30
  4. Step 4: Simplify right side
    14,644.10x = 213,495,601.70
  5. Step 5: Solve for x
    x = 213,495,601.70/14,644.10
  6. Step 6: Final answer
    x = 14,578.95

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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.