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Finding the Fourth Proportional to 14,447.80, 21,659.70 and 6,134.20

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Solution

The fourth proportional to 14,447.80, 21,659.70 and 6,134.20 is: 9,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.80 : 21,659.70 = 6,134.20 : x
  2. Step 2: Convert to fraction form
    14,447.80/21,659.70 = 6,134.20/x
  3. Step 3: Cross multiply
    14,447.80x = 21,659.70 × 6,134.20
  4. Step 4: Simplify right side
    14,447.80x = 132,864,931.74
  5. Step 5: Solve for x
    x = 132,864,931.74/14,447.80
  6. Step 6: Final answer
    x = 9,196.21

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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.