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Finding the Fourth Proportional to 13,294.53, 19,922.96 and 7,374.00

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Solution

The fourth proportional to 13,294.53, 19,922.96 and 7,374.00 is: 11,050.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.53 : 19,922.96 = 7,374.00 : x
  2. Step 2: Convert to fraction form
    13,294.53/19,922.96 = 7,374.00/x
  3. Step 3: Cross multiply
    13,294.53x = 19,922.96 × 7,374.00
  4. Step 4: Simplify right side
    13,294.53x = 146,912,000.19
  5. Step 5: Solve for x
    x = 146,912,000.19/13,294.53
  6. Step 6: Final answer
    x = 11,050.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.