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Finding the Fourth Proportional to 12,653.96, 17,462.70 and 6,989

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Solution

The fourth proportional to 12,653.96, 17,462.70 and 6,989 is: 9,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.96 : 17,462.70 = 6,989 : x
  2. Step 2: Convert to fraction form
    12,653.96/17,462.70 = 6,989/x
  3. Step 3: Cross multiply
    12,653.96x = 17,462.70 × 6,989
  4. Step 4: Simplify right side
    12,653.96x = 122,046,810.30
  5. Step 5: Solve for x
    x = 122,046,810.30/12,653.96
  6. Step 6: Final answer
    x = 9,644.95

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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.