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Finding the Fourth Proportional to 25,851.76, 38,770.54 and 7,127.40

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Solution

The fourth proportional to 25,851.76, 38,770.54 and 7,127.40 is: 10,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,851.76 : 38,770.54 = 7,127.40 : x
  2. Step 2: Convert to fraction form
    25,851.76/38,770.54 = 7,127.40/x
  3. Step 3: Cross multiply
    25,851.76x = 38,770.54 × 7,127.40
  4. Step 4: Simplify right side
    25,851.76x = 276,333,146.80
  5. Step 5: Solve for x
    x = 276,333,146.80/25,851.76
  6. Step 6: Final answer
    x = 10,689.14

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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.