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Finding the Fourth Proportional to 12,985.25, 17,913.22 and 8,139.10

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Solution

The fourth proportional to 12,985.25, 17,913.22 and 8,139.10 is: 11,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.25 : 17,913.22 = 8,139.10 : x
  2. Step 2: Convert to fraction form
    12,985.25/17,913.22 = 8,139.10/x
  3. Step 3: Cross multiply
    12,985.25x = 17,913.22 × 8,139.10
  4. Step 4: Simplify right side
    12,985.25x = 145,797,457.36
  5. Step 5: Solve for x
    x = 145,797,457.36/12,985.25
  6. Step 6: Final answer
    x = 11,227.93

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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.