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Finding the Fourth Proportional to 24,787.14, 37,175.25 and 7,258.34

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Solution

The fourth proportional to 24,787.14, 37,175.25 and 7,258.34 is: 10,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,787.14 : 37,175.25 = 7,258.34 : x
  2. Step 2: Convert to fraction form
    24,787.14/37,175.25 = 7,258.34/x
  3. Step 3: Cross multiply
    24,787.14x = 37,175.25 × 7,258.34
  4. Step 4: Simplify right side
    24,787.14x = 269,830,381.92
  5. Step 5: Solve for x
    x = 269,830,381.92/24,787.14
  6. Step 6: Final answer
    x = 10,885.90

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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.