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Finding the Fourth Proportional to 19,525, 29,302.54 and 10,167.38

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Solution

The fourth proportional to 19,525, 29,302.54 and 10,167.38 is: 15,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,525 : 29,302.54 = 10,167.38 : x
  2. Step 2: Convert to fraction form
    19,525/29,302.54 = 10,167.38/x
  3. Step 3: Cross multiply
    19,525x = 29,302.54 × 10,167.38
  4. Step 4: Simplify right side
    19,525x = 297,930,059.15
  5. Step 5: Solve for x
    x = 297,930,059.15/19,525
  6. Step 6: Final answer
    x = 15,258.90

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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.