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Finding the Fourth Proportional to 16,169.48, 24,258.72 and 7,397

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Solution

The fourth proportional to 16,169.48, 24,258.72 and 7,397 is: 11,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169.48 : 24,258.72 = 7,397 : x
  2. Step 2: Convert to fraction form
    16,169.48/24,258.72 = 7,397/x
  3. Step 3: Cross multiply
    16,169.48x = 24,258.72 × 7,397
  4. Step 4: Simplify right side
    16,169.48x = 179,441,751.84
  5. Step 5: Solve for x
    x = 179,441,751.84/16,169.48
  6. Step 6: Final answer
    x = 11,097.56

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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.