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Finding the Fourth Proportional to 14,238.59, 21,348.77 and 6,842.88

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Solution

The fourth proportional to 14,238.59, 21,348.77 and 6,842.88 is: 10,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.59 : 21,348.77 = 6,842.88 : x
  2. Step 2: Convert to fraction form
    14,238.59/21,348.77 = 6,842.88/x
  3. Step 3: Cross multiply
    14,238.59x = 21,348.77 × 6,842.88
  4. Step 4: Simplify right side
    14,238.59x = 146,087,037.04
  5. Step 5: Solve for x
    x = 146,087,037.04/14,238.59
  6. Step 6: Final answer
    x = 10,259.94

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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.