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Finding the Fourth Proportional to 21,204.68, 29,255.70 and 12,251

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Solution

The fourth proportional to 21,204.68, 29,255.70 and 12,251 is: 16,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,204.68 : 29,255.70 = 12,251 : x
  2. Step 2: Convert to fraction form
    21,204.68/29,255.70 = 12,251/x
  3. Step 3: Cross multiply
    21,204.68x = 29,255.70 × 12,251
  4. Step 4: Simplify right side
    21,204.68x = 358,411,580.70
  5. Step 5: Solve for x
    x = 358,411,580.70/21,204.68
  6. Step 6: Final answer
    x = 16,902.48

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