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Finding the Fourth Proportional to 15,787.50, 23,674.62 and 7,016.46

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Solution

The fourth proportional to 15,787.50, 23,674.62 and 7,016.46 is: 10,521.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,787.50 : 23,674.62 = 7,016.46 : x
  2. Step 2: Convert to fraction form
    15,787.50/23,674.62 = 7,016.46/x
  3. Step 3: Cross multiply
    15,787.50x = 23,674.62 × 7,016.46
  4. Step 4: Simplify right side
    15,787.50x = 166,112,024.25
  5. Step 5: Solve for x
    x = 166,112,024.25/15,787.50
  6. Step 6: Final answer
    x = 10,521.74

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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.