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Finding the Fourth Proportional to 13,776.96, 20,656.24 and 7,117.52

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Solution

The fourth proportional to 13,776.96, 20,656.24 and 7,117.52 is: 10,671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.96 : 20,656.24 = 7,117.52 : x
  2. Step 2: Convert to fraction form
    13,776.96/20,656.24 = 7,117.52/x
  3. Step 3: Cross multiply
    13,776.96x = 20,656.24 × 7,117.52
  4. Step 4: Simplify right side
    13,776.96x = 147,021,201.32
  5. Step 5: Solve for x
    x = 147,021,201.32/13,776.96
  6. Step 6: Final answer
    x = 10,671.53

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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.