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Finding the Fourth Proportional to 13,038.20, 19,522.74 and 6,787.16

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Solution

The fourth proportional to 13,038.20, 19,522.74 and 6,787.16 is: 10,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.20 : 19,522.74 = 6,787.16 : x
  2. Step 2: Convert to fraction form
    13,038.20/19,522.74 = 6,787.16/x
  3. Step 3: Cross multiply
    13,038.20x = 19,522.74 × 6,787.16
  4. Step 4: Simplify right side
    13,038.20x = 132,503,960.02
  5. Step 5: Solve for x
    x = 132,503,960.02/13,038.20
  6. Step 6: Final answer
    x = 10,162.75

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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.