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Finding the Fourth Proportional to 23,484.84, 32,409 and 12,874.56

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Solution

The fourth proportional to 23,484.84, 32,409 and 12,874.56 is: 17,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,484.84 : 32,409 = 12,874.56 : x
  2. Step 2: Convert to fraction form
    23,484.84/32,409 = 12,874.56/x
  3. Step 3: Cross multiply
    23,484.84x = 32,409 × 12,874.56
  4. Step 4: Simplify right side
    23,484.84x = 417,251,615.04
  5. Step 5: Solve for x
    x = 417,251,615.04/23,484.84
  6. Step 6: Final answer
    x = 17,766.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.