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Finding the Fourth Proportional to 24,578.67, 36,876.15 and 9,783.60

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Solution

The fourth proportional to 24,578.67, 36,876.15 and 9,783.60 is: 14,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.67 : 36,876.15 = 9,783.60 : x
  2. Step 2: Convert to fraction form
    24,578.67/36,876.15 = 9,783.60/x
  3. Step 3: Cross multiply
    24,578.67x = 36,876.15 × 9,783.60
  4. Step 4: Simplify right side
    24,578.67x = 360,781,501.14
  5. Step 5: Solve for x
    x = 360,781,501.14/24,578.67
  6. Step 6: Final answer
    x = 14,678.64

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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.