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Finding the Fourth Proportional to 13,793.40, 20,675.70 and 7,543.80

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Solution

The fourth proportional to 13,793.40, 20,675.70 and 7,543.80 is: 11,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.40 : 20,675.70 = 7,543.80 : x
  2. Step 2: Convert to fraction form
    13,793.40/20,675.70 = 7,543.80/x
  3. Step 3: Cross multiply
    13,793.40x = 20,675.70 × 7,543.80
  4. Step 4: Simplify right side
    13,793.40x = 155,973,345.66
  5. Step 5: Solve for x
    x = 155,973,345.66/13,793.40
  6. Step 6: Final answer
    x = 11,307.82

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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.