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Finding the Fourth Proportional to 12,655.40, 17,463.16 and 6,989.76

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Solution

The fourth proportional to 12,655.40, 17,463.16 and 6,989.76 is: 9,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655.40 : 17,463.16 = 6,989.76 : x
  2. Step 2: Convert to fraction form
    12,655.40/17,463.16 = 6,989.76/x
  3. Step 3: Cross multiply
    12,655.40x = 17,463.16 × 6,989.76
  4. Step 4: Simplify right side
    12,655.40x = 122,063,297.24
  5. Step 5: Solve for x
    x = 122,063,297.24/12,655.40
  6. Step 6: Final answer
    x = 9,645.16

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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.