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Finding the Fourth Proportional to 14,159.32, 21,240.42 and 5,842.84

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Solution

The fourth proportional to 14,159.32, 21,240.42 and 5,842.84 is: 8,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.32 : 21,240.42 = 5,842.84 : x
  2. Step 2: Convert to fraction form
    14,159.32/21,240.42 = 5,842.84/x
  3. Step 3: Cross multiply
    14,159.32x = 21,240.42 × 5,842.84
  4. Step 4: Simplify right side
    14,159.32x = 124,104,375.59
  5. Step 5: Solve for x
    x = 124,104,375.59/14,159.32
  6. Step 6: Final answer
    x = 8,764.85

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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.