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Finding the Fourth Proportional to 25,693.48, 38,540.02 and 13,217

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Solution

The fourth proportional to 25,693.48, 38,540.02 and 13,217 is: 19,825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,693.48 : 38,540.02 = 13,217 : x
  2. Step 2: Convert to fraction form
    25,693.48/38,540.02 = 13,217/x
  3. Step 3: Cross multiply
    25,693.48x = 38,540.02 × 13,217
  4. Step 4: Simplify right side
    25,693.48x = 509,383,444.34
  5. Step 5: Solve for x
    x = 509,383,444.34/25,693.48
  6. Step 6: Final answer
    x = 19,825.40

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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.