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Finding the Fourth Proportional to 14,432, 19,916.16 and 8,144.24

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Solution

The fourth proportional to 14,432, 19,916.16 and 8,144.24 is: 11,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432 : 19,916.16 = 8,144.24 : x
  2. Step 2: Convert to fraction form
    14,432/19,916.16 = 8,144.24/x
  3. Step 3: Cross multiply
    14,432x = 19,916.16 × 8,144.24
  4. Step 4: Simplify right side
    14,432x = 162,201,986.92
  5. Step 5: Solve for x
    x = 162,201,986.92/14,432
  6. Step 6: Final answer
    x = 11,239.05

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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.