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Finding the Fourth Proportional to 12,916.36, 17,825.16 and 10,117

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Solution

The fourth proportional to 12,916.36, 17,825.16 and 10,117 is: 13,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.36 : 17,825.16 = 10,117 : x
  2. Step 2: Convert to fraction form
    12,916.36/17,825.16 = 10,117/x
  3. Step 3: Cross multiply
    12,916.36x = 17,825.16 × 10,117
  4. Step 4: Simplify right side
    12,916.36x = 180,337,143.72
  5. Step 5: Solve for x
    x = 180,337,143.72/12,916.36
  6. Step 6: Final answer
    x = 13,961.92

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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.