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Finding the Fourth Proportional to 14,842.96, 22,264.40 and 6,077.88

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Solution

The fourth proportional to 14,842.96, 22,264.40 and 6,077.88 is: 9,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.96 : 22,264.40 = 6,077.88 : x
  2. Step 2: Convert to fraction form
    14,842.96/22,264.40 = 6,077.88/x
  3. Step 3: Cross multiply
    14,842.96x = 22,264.40 × 6,077.88
  4. Step 4: Simplify right side
    14,842.96x = 135,320,366.67
  5. Step 5: Solve for x
    x = 135,320,366.67/14,842.96
  6. Step 6: Final answer
    x = 9,116.81

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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.