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Finding the Fourth Proportional to 25,427.88, 38,146.08 and 7,894.20

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Solution

The fourth proportional to 25,427.88, 38,146.08 and 7,894.20 is: 11,842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,427.88 : 38,146.08 = 7,894.20 : x
  2. Step 2: Convert to fraction form
    25,427.88/38,146.08 = 7,894.20/x
  3. Step 3: Cross multiply
    25,427.88x = 38,146.08 × 7,894.20
  4. Step 4: Simplify right side
    25,427.88x = 301,132,784.74
  5. Step 5: Solve for x
    x = 301,132,784.74/25,427.88
  6. Step 6: Final answer
    x = 11,842.62

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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.