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Finding the Fourth Proportional to 24,285.60, 36,424.14 and 6,756.84

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Solution

The fourth proportional to 24,285.60, 36,424.14 and 6,756.84 is: 10,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,285.60 : 36,424.14 = 6,756.84 : x
  2. Step 2: Convert to fraction form
    24,285.60/36,424.14 = 6,756.84/x
  3. Step 3: Cross multiply
    24,285.60x = 36,424.14 × 6,756.84
  4. Step 4: Simplify right side
    24,285.60x = 246,112,086.12
  5. Step 5: Solve for x
    x = 246,112,086.12/24,285.60
  6. Step 6: Final answer
    x = 10,134.07

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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.