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Finding the Fourth Proportional to 14,107.53, 19,470.21 and 9,266.40

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Solution

The fourth proportional to 14,107.53, 19,470.21 and 9,266.40 is: 12,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.53 : 19,470.21 = 9,266.40 : x
  2. Step 2: Convert to fraction form
    14,107.53/19,470.21 = 9,266.40/x
  3. Step 3: Cross multiply
    14,107.53x = 19,470.21 × 9,266.40
  4. Step 4: Simplify right side
    14,107.53x = 180,418,753.94
  5. Step 5: Solve for x
    x = 180,418,753.94/14,107.53
  6. Step 6: Final answer
    x = 12,788.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.