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Finding the Fourth Proportional to 12,143.16, 16,696.98 and 10,371.60

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Solution

The fourth proportional to 12,143.16, 16,696.98 and 10,371.60 is: 14,261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.16 : 16,696.98 = 10,371.60 : x
  2. Step 2: Convert to fraction form
    12,143.16/16,696.98 = 10,371.60/x
  3. Step 3: Cross multiply
    12,143.16x = 16,696.98 × 10,371.60
  4. Step 4: Simplify right side
    12,143.16x = 173,174,397.77
  5. Step 5: Solve for x
    x = 173,174,397.77/12,143.16
  6. Step 6: Final answer
    x = 14,261.07

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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.