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Finding the Fourth Proportional to 25,385.90, 38,071.44 and 7,615.85

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Solution

The fourth proportional to 25,385.90, 38,071.44 and 7,615.85 is: 11,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,385.90 : 38,071.44 = 7,615.85 : x
  2. Step 2: Convert to fraction form
    25,385.90/38,071.44 = 7,615.85/x
  3. Step 3: Cross multiply
    25,385.90x = 38,071.44 × 7,615.85
  4. Step 4: Simplify right side
    25,385.90x = 289,946,185.97
  5. Step 5: Solve for x
    x = 289,946,185.97/25,385.90
  6. Step 6: Final answer
    x = 11,421.55

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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.