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Finding the Fourth Proportional to 15,477.13, 23,178.78 and 8,446.60

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Solution

The fourth proportional to 15,477.13, 23,178.78 and 8,446.60 is: 12,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,477.13 : 23,178.78 = 8,446.60 : x
  2. Step 2: Convert to fraction form
    15,477.13/23,178.78 = 8,446.60/x
  3. Step 3: Cross multiply
    15,477.13x = 23,178.78 × 8,446.60
  4. Step 4: Simplify right side
    15,477.13x = 195,782,001.07
  5. Step 5: Solve for x
    x = 195,782,001.07/15,477.13
  6. Step 6: Final answer
    x = 12,649.76

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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.