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Finding the Fourth Proportional to 13,790.14, 20,641.16 and 7,456.34

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Solution

The fourth proportional to 13,790.14, 20,641.16 and 7,456.34 is: 11,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.14 : 20,641.16 = 7,456.34 : x
  2. Step 2: Convert to fraction form
    13,790.14/20,641.16 = 7,456.34/x
  3. Step 3: Cross multiply
    13,790.14x = 20,641.16 × 7,456.34
  4. Step 4: Simplify right side
    13,790.14x = 153,907,577.20
  5. Step 5: Solve for x
    x = 153,907,577.20/13,790.14
  6. Step 6: Final answer
    x = 11,160.70

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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.