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Finding the Fourth Proportional to 29,214, 43,799.13 and 9,480.78

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Solution

The fourth proportional to 29,214, 43,799.13 and 9,480.78 is: 14,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,214 : 43,799.13 = 9,480.78 : x
  2. Step 2: Convert to fraction form
    29,214/43,799.13 = 9,480.78/x
  3. Step 3: Cross multiply
    29,214x = 43,799.13 × 9,480.78
  4. Step 4: Simplify right side
    29,214x = 415,249,915.72
  5. Step 5: Solve for x
    x = 415,249,915.72/29,214
  6. Step 6: Final answer
    x = 14,214.07

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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.