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Finding the Fourth Proportional to 14,841, 20,480.58 and 8,217

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Solution

The fourth proportional to 14,841, 20,480.58 and 8,217 is: 11,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,841 : 20,480.58 = 8,217 : x
  2. Step 2: Convert to fraction form
    14,841/20,480.58 = 8,217/x
  3. Step 3: Cross multiply
    14,841x = 20,480.58 × 8,217
  4. Step 4: Simplify right side
    14,841x = 168,288,925.86
  5. Step 5: Solve for x
    x = 168,288,925.86/14,841
  6. Step 6: Final answer
    x = 11,339.46

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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.