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Finding the Fourth Proportional to 23,864.42, 35,780.16 and 9,624.08

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Solution

The fourth proportional to 23,864.42, 35,780.16 and 9,624.08 is: 14,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,864.42 : 35,780.16 = 9,624.08 : x
  2. Step 2: Convert to fraction form
    23,864.42/35,780.16 = 9,624.08/x
  3. Step 3: Cross multiply
    23,864.42x = 35,780.16 × 9,624.08
  4. Step 4: Simplify right side
    23,864.42x = 344,351,122.25
  5. Step 5: Solve for x
    x = 344,351,122.25/23,864.42
  6. Step 6: Final answer
    x = 14,429.48

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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.