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Finding the Fourth Proportional to 24,285.15, 36,427.68 and 7,646.58

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Solution

The fourth proportional to 24,285.15, 36,427.68 and 7,646.58 is: 11,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,285.15 : 36,427.68 = 7,646.58 : x
  2. Step 2: Convert to fraction form
    24,285.15/36,427.68 = 7,646.58/x
  3. Step 3: Cross multiply
    24,285.15x = 36,427.68 × 7,646.58
  4. Step 4: Simplify right side
    24,285.15x = 278,547,169.33
  5. Step 5: Solve for x
    x = 278,547,169.33/24,285.15
  6. Step 6: Final answer
    x = 11,469.86

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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.