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Finding the Fourth Proportional to 16,235.28, 22,404.48 and 9,948

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Solution

The fourth proportional to 16,235.28, 22,404.48 and 9,948 is: 13,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235.28 : 22,404.48 = 9,948 : x
  2. Step 2: Convert to fraction form
    16,235.28/22,404.48 = 9,948/x
  3. Step 3: Cross multiply
    16,235.28x = 22,404.48 × 9,948
  4. Step 4: Simplify right side
    16,235.28x = 222,879,767.04
  5. Step 5: Solve for x
    x = 222,879,767.04/16,235.28
  6. Step 6: Final answer
    x = 13,728.11

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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.