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Finding the Fourth Proportional to 14,432.72, 19,916.64 and 8,144.96

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Solution

The fourth proportional to 14,432.72, 19,916.64 and 8,144.96 is: 11,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.72 : 19,916.64 = 8,144.96 : x
  2. Step 2: Convert to fraction form
    14,432.72/19,916.64 = 8,144.96/x
  3. Step 3: Cross multiply
    14,432.72x = 19,916.64 × 8,144.96
  4. Step 4: Simplify right side
    14,432.72x = 162,220,236.13
  5. Step 5: Solve for x
    x = 162,220,236.13/14,432.72
  6. Step 6: Final answer
    x = 11,239.75

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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.