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Finding the Fourth Proportional to 14,916.42, 20,584.80 and 8,201.93

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Solution

The fourth proportional to 14,916.42, 20,584.80 and 8,201.93 is: 11,318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.42 : 20,584.80 = 8,201.93 : x
  2. Step 2: Convert to fraction form
    14,916.42/20,584.80 = 8,201.93/x
  3. Step 3: Cross multiply
    14,916.42x = 20,584.80 × 8,201.93
  4. Step 4: Simplify right side
    14,916.42x = 168,834,985.74
  5. Step 5: Solve for x
    x = 168,834,985.74/14,916.42
  6. Step 6: Final answer
    x = 11,318.73

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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.