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Finding the Fourth Proportional to 19,916.96, 29,881.92 and 9,529.52

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Solution

The fourth proportional to 19,916.96, 29,881.92 and 9,529.52 is: 14,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,916.96 : 29,881.92 = 9,529.52 : x
  2. Step 2: Convert to fraction form
    19,916.96/29,881.92 = 9,529.52/x
  3. Step 3: Cross multiply
    19,916.96x = 29,881.92 × 9,529.52
  4. Step 4: Simplify right side
    19,916.96x = 284,760,354.28
  5. Step 5: Solve for x
    x = 284,760,354.28/19,916.96
  6. Step 6: Final answer
    x = 14,297.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.