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Finding the Fourth Proportional to 24,312.84, 36,471.30 and 6,782.88

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Solution

The fourth proportional to 24,312.84, 36,471.30 and 6,782.88 is: 10,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.84 : 36,471.30 = 6,782.88 : x
  2. Step 2: Convert to fraction form
    24,312.84/36,471.30 = 6,782.88/x
  3. Step 3: Cross multiply
    24,312.84x = 36,471.30 × 6,782.88
  4. Step 4: Simplify right side
    24,312.84x = 247,380,451.34
  5. Step 5: Solve for x
    x = 247,380,451.34/24,312.84
  6. Step 6: Final answer
    x = 10,174.89

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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.