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Finding the Fourth Proportional to 13,870.32, 20,805.48 and 6,077.52

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Solution

The fourth proportional to 13,870.32, 20,805.48 and 6,077.52 is: 9,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.32 : 20,805.48 = 6,077.52 : x
  2. Step 2: Convert to fraction form
    13,870.32/20,805.48 = 6,077.52/x
  3. Step 3: Cross multiply
    13,870.32x = 20,805.48 × 6,077.52
  4. Step 4: Simplify right side
    13,870.32x = 126,445,720.81
  5. Step 5: Solve for x
    x = 126,445,720.81/13,870.32
  6. Step 6: Final answer
    x = 9,116.28

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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.