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Finding the Fourth Proportional to 24,652.23, 36,982.80 and 7,123.02

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Solution

The fourth proportional to 24,652.23, 36,982.80 and 7,123.02 is: 10,685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.23 : 36,982.80 = 7,123.02 : x
  2. Step 2: Convert to fraction form
    24,652.23/36,982.80 = 7,123.02/x
  3. Step 3: Cross multiply
    24,652.23x = 36,982.80 × 7,123.02
  4. Step 4: Simplify right side
    24,652.23x = 263,429,224.06
  5. Step 5: Solve for x
    x = 263,429,224.06/24,652.23
  6. Step 6: Final answer
    x = 10,685.82

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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.