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Finding the Fourth Proportional to 12,862.53, 17,758.71 and 9,893.88

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Solution

The fourth proportional to 12,862.53, 17,758.71 and 9,893.88 is: 13,660.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.53 : 17,758.71 = 9,893.88 : x
  2. Step 2: Convert to fraction form
    12,862.53/17,758.71 = 9,893.88/x
  3. Step 3: Cross multiply
    12,862.53x = 17,758.71 × 9,893.88
  4. Step 4: Simplify right side
    12,862.53x = 175,702,545.69
  5. Step 5: Solve for x
    x = 175,702,545.69/12,862.53
  6. Step 6: Final answer
    x = 13,660.03

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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.