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Finding the Fourth Proportional to 24,378, 36,567 and 5,910

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Solution

The fourth proportional to 24,378, 36,567 and 5,910 is: 8,865

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378 : 36,567 = 5,910 : x
  2. Step 2: Convert to fraction form
    24,378/36,567 = 5,910/x
  3. Step 3: Cross multiply
    24,378x = 36,567 × 5,910
  4. Step 4: Simplify right side
    24,378x = 216,110,970
  5. Step 5: Solve for x
    x = 216,110,970/24,378
  6. Step 6: Final answer
    x = 8,865

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