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Finding the Fourth Proportional to 24,262, 36,354 and 20,374

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Solution

The fourth proportional to 24,262, 36,354 and 20,374 is: 30,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,262 : 36,354 = 20,374 : x
  2. Step 2: Convert to fraction form
    24,262/36,354 = 20,374/x
  3. Step 3: Cross multiply
    24,262x = 36,354 × 20,374
  4. Step 4: Simplify right side
    24,262x = 740,676,396
  5. Step 5: Solve for x
    x = 740,676,396/24,262
  6. Step 6: Final answer
    x = 30,528.25

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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.