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Finding the Fourth Proportional to 12,787.43, 17,646.61 and 7,122.25

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Solution

The fourth proportional to 12,787.43, 17,646.61 and 7,122.25 is: 9,828.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.43 : 17,646.61 = 7,122.25 : x
  2. Step 2: Convert to fraction form
    12,787.43/17,646.61 = 7,122.25/x
  3. Step 3: Cross multiply
    12,787.43x = 17,646.61 × 7,122.25
  4. Step 4: Simplify right side
    12,787.43x = 125,683,506.15
  5. Step 5: Solve for x
    x = 125,683,506.15/12,787.43
  6. Step 6: Final answer
    x = 9,828.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.