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Finding the Fourth Proportional to 24,644.38, 36,962.61 and 6,875.50

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Solution

The fourth proportional to 24,644.38, 36,962.61 and 6,875.50 is: 10,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.38 : 36,962.61 = 6,875.50 : x
  2. Step 2: Convert to fraction form
    24,644.38/36,962.61 = 6,875.50/x
  3. Step 3: Cross multiply
    24,644.38x = 36,962.61 × 6,875.50
  4. Step 4: Simplify right side
    24,644.38x = 254,136,425.06
  5. Step 5: Solve for x
    x = 254,136,425.06/24,644.38
  6. Step 6: Final answer
    x = 10,312.15

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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.