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Finding the Fourth Proportional to 24,364, 36,541.68 and 6,835.36

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Solution

The fourth proportional to 24,364, 36,541.68 and 6,835.36 is: 10,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,364 : 36,541.68 = 6,835.36 : x
  2. Step 2: Convert to fraction form
    24,364/36,541.68 = 6,835.36/x
  3. Step 3: Cross multiply
    24,364x = 36,541.68 × 6,835.36
  4. Step 4: Simplify right side
    24,364x = 249,775,537.80
  5. Step 5: Solve for x
    x = 249,775,537.80/24,364
  6. Step 6: Final answer
    x = 10,251.83

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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.