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Finding the Fourth Proportional to 24,351.84, 36,505.83 and 8,758.50

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Solution

The fourth proportional to 24,351.84, 36,505.83 and 8,758.50 is: 13,129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,351.84 : 36,505.83 = 8,758.50 : x
  2. Step 2: Convert to fraction form
    24,351.84/36,505.83 = 8,758.50/x
  3. Step 3: Cross multiply
    24,351.84x = 36,505.83 × 8,758.50
  4. Step 4: Simplify right side
    24,351.84x = 319,736,312.06
  5. Step 5: Solve for x
    x = 319,736,312.06/24,351.84
  6. Step 6: Final answer
    x = 13,129.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.