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Finding the Fourth Proportional to 14,260.50, 19,679.14 and 8,294.24

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Solution

The fourth proportional to 14,260.50, 19,679.14 and 8,294.24 is: 11,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,260.50 : 19,679.14 = 8,294.24 : x
  2. Step 2: Convert to fraction form
    14,260.50/19,679.14 = 8,294.24/x
  3. Step 3: Cross multiply
    14,260.50x = 19,679.14 × 8,294.24
  4. Step 4: Simplify right side
    14,260.50x = 163,223,510.15
  5. Step 5: Solve for x
    x = 163,223,510.15/14,260.50
  6. Step 6: Final answer
    x = 11,445.85

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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.