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Finding the Fourth Proportional to 21,608, 32,421.76 and 12,374

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Solution

The fourth proportional to 21,608, 32,421.76 and 12,374 is: 18,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,608 : 32,421.76 = 12,374 : x
  2. Step 2: Convert to fraction form
    21,608/32,421.76 = 12,374/x
  3. Step 3: Cross multiply
    21,608x = 32,421.76 × 12,374
  4. Step 4: Simplify right side
    21,608x = 401,186,858.24
  5. Step 5: Solve for x
    x = 401,186,858.24/21,608
  6. Step 6: Final answer
    x = 18,566.59

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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.