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Finding the Fourth Proportional to 24,353.46, 36,529.78 and 7,713.47

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Solution

The fourth proportional to 24,353.46, 36,529.78 and 7,713.47 is: 11,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,353.46 : 36,529.78 = 7,713.47 : x
  2. Step 2: Convert to fraction form
    24,353.46/36,529.78 = 7,713.47/x
  3. Step 3: Cross multiply
    24,353.46x = 36,529.78 × 7,713.47
  4. Step 4: Simplify right side
    24,353.46x = 281,771,140.92
  5. Step 5: Solve for x
    x = 281,771,140.92/24,353.46
  6. Step 6: Final answer
    x = 11,570.07

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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.