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Finding the Fourth Proportional to 13,647.32, 20,454.14 and 7,069.72

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Solution

The fourth proportional to 13,647.32, 20,454.14 and 7,069.72 is: 10,595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.32 : 20,454.14 = 7,069.72 : x
  2. Step 2: Convert to fraction form
    13,647.32/20,454.14 = 7,069.72/x
  3. Step 3: Cross multiply
    13,647.32x = 20,454.14 × 7,069.72
  4. Step 4: Simplify right side
    13,647.32x = 144,605,042.64
  5. Step 5: Solve for x
    x = 144,605,042.64/13,647.32
  6. Step 6: Final answer
    x = 10,595.86

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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.