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Finding the Fourth Proportional to 25,671.44, 38,508.60 and 7,202

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Solution

The fourth proportional to 25,671.44, 38,508.60 and 7,202 is: 10,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,671.44 : 38,508.60 = 7,202 : x
  2. Step 2: Convert to fraction form
    25,671.44/38,508.60 = 7,202/x
  3. Step 3: Cross multiply
    25,671.44x = 38,508.60 × 7,202
  4. Step 4: Simplify right side
    25,671.44x = 277,338,937.20
  5. Step 5: Solve for x
    x = 277,338,937.20/25,671.44
  6. Step 6: Final answer
    x = 10,803.40

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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.