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Finding the Fourth Proportional to 12,697.76, 17,522.88 and 7,032.80

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Solution

The fourth proportional to 12,697.76, 17,522.88 and 7,032.80 is: 9,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.76 : 17,522.88 = 7,032.80 : x
  2. Step 2: Convert to fraction form
    12,697.76/17,522.88 = 7,032.80/x
  3. Step 3: Cross multiply
    12,697.76x = 17,522.88 × 7,032.80
  4. Step 4: Simplify right side
    12,697.76x = 123,234,910.46
  5. Step 5: Solve for x
    x = 123,234,910.46/12,697.76
  6. Step 6: Final answer
    x = 9,705.25

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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.