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Finding the Fourth Proportional to 13,707.46, 20,567.45 and 7,458.10

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Solution

The fourth proportional to 13,707.46, 20,567.45 and 7,458.10 is: 11,190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.46 : 20,567.45 = 7,458.10 : x
  2. Step 2: Convert to fraction form
    13,707.46/20,567.45 = 7,458.10/x
  3. Step 3: Cross multiply
    13,707.46x = 20,567.45 × 7,458.10
  4. Step 4: Simplify right side
    13,707.46x = 153,394,098.85
  5. Step 5: Solve for x
    x = 153,394,098.85/13,707.46
  6. Step 6: Final answer
    x = 11,190.56

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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.