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Finding the Fourth Proportional to 24,338, 36,507 and 5,870

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Solution

The fourth proportional to 24,338, 36,507 and 5,870 is: 8,805

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,338 : 36,507 = 5,870 : x
  2. Step 2: Convert to fraction form
    24,338/36,507 = 5,870/x
  3. Step 3: Cross multiply
    24,338x = 36,507 × 5,870
  4. Step 4: Simplify right side
    24,338x = 214,296,090
  5. Step 5: Solve for x
    x = 214,296,090/24,338
  6. Step 6: Final answer
    x = 8,805

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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.