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Finding the Fourth Proportional to 21,840, 32,760 and 7,248

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Solution

The fourth proportional to 21,840, 32,760 and 7,248 is: 10,872

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,840 : 32,760 = 7,248 : x
  2. Step 2: Convert to fraction form
    21,840/32,760 = 7,248/x
  3. Step 3: Cross multiply
    21,840x = 32,760 × 7,248
  4. Step 4: Simplify right side
    21,840x = 237,444,480
  5. Step 5: Solve for x
    x = 237,444,480/21,840
  6. Step 6: Final answer
    x = 10,872

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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.