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Finding the Fourth Proportional to 24,787.77, 37,176.18 and 7,258.96

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Solution

The fourth proportional to 24,787.77, 37,176.18 and 7,258.96 is: 10,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,787.77 : 37,176.18 = 7,258.96 : x
  2. Step 2: Convert to fraction form
    24,787.77/37,176.18 = 7,258.96/x
  3. Step 3: Cross multiply
    24,787.77x = 37,176.18 × 7,258.96
  4. Step 4: Simplify right side
    24,787.77x = 269,860,422.82
  5. Step 5: Solve for x
    x = 269,860,422.82/24,787.77
  6. Step 6: Final answer
    x = 10,886.84

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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.