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Finding the Fourth Proportional to 25,400.46, 38,102.44 and 7,630.40

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Solution

The fourth proportional to 25,400.46, 38,102.44 and 7,630.40 is: 11,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,400.46 : 38,102.44 = 7,630.40 : x
  2. Step 2: Convert to fraction form
    25,400.46/38,102.44 = 7,630.40/x
  3. Step 3: Cross multiply
    25,400.46x = 38,102.44 × 7,630.40
  4. Step 4: Simplify right side
    25,400.46x = 290,736,858.18
  5. Step 5: Solve for x
    x = 290,736,858.18/25,400.46
  6. Step 6: Final answer
    x = 11,446.13

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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.