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Finding the Fourth Proportional to 12,478.02, 18,710.78 and 4,155.11

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Solution

The fourth proportional to 12,478.02, 18,710.78 and 4,155.11 is: 6,230.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.02 : 18,710.78 = 4,155.11 : x
  2. Step 2: Convert to fraction form
    12,478.02/18,710.78 = 4,155.11/x
  3. Step 3: Cross multiply
    12,478.02x = 18,710.78 × 4,155.11
  4. Step 4: Simplify right side
    12,478.02x = 77,745,234.76
  5. Step 5: Solve for x
    x = 77,745,234.76/12,478.02
  6. Step 6: Final answer
    x = 6,230.57

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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.