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Finding the Fourth Proportional to 23,217, 32,039.46 and 13,281

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Solution

The fourth proportional to 23,217, 32,039.46 and 13,281 is: 18,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,217 : 32,039.46 = 13,281 : x
  2. Step 2: Convert to fraction form
    23,217/32,039.46 = 13,281/x
  3. Step 3: Cross multiply
    23,217x = 32,039.46 × 13,281
  4. Step 4: Simplify right side
    23,217x = 425,516,068.26
  5. Step 5: Solve for x
    x = 425,516,068.26/23,217
  6. Step 6: Final answer
    x = 18,327.78

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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.