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Finding the Fourth Proportional to 12,916.52, 17,827.68 and 8,199.92

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Solution

The fourth proportional to 12,916.52, 17,827.68 and 8,199.92 is: 11,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.52 : 17,827.68 = 8,199.92 : x
  2. Step 2: Convert to fraction form
    12,916.52/17,827.68 = 8,199.92/x
  3. Step 3: Cross multiply
    12,916.52x = 17,827.68 × 8,199.92
  4. Step 4: Simplify right side
    12,916.52x = 146,185,549.79
  5. Step 5: Solve for x
    x = 146,185,549.79/12,916.52
  6. Step 6: Final answer
    x = 11,317.72

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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.