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Finding the Fourth Proportional to 14,648.40, 20,214.36 and 8,275.29

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Solution

The fourth proportional to 14,648.40, 20,214.36 and 8,275.29 is: 11,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.40 : 20,214.36 = 8,275.29 : x
  2. Step 2: Convert to fraction form
    14,648.40/20,214.36 = 8,275.29/x
  3. Step 3: Cross multiply
    14,648.40x = 20,214.36 × 8,275.29
  4. Step 4: Simplify right side
    14,648.40x = 167,279,691.16
  5. Step 5: Solve for x
    x = 167,279,691.16/14,648.40
  6. Step 6: Final answer
    x = 11,419.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.