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Finding the Fourth Proportional to 19,132.90, 26,407.68 and 10,638

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Solution

The fourth proportional to 19,132.90, 26,407.68 and 10,638 is: 14,682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,132.90 : 26,407.68 = 10,638 : x
  2. Step 2: Convert to fraction form
    19,132.90/26,407.68 = 10,638/x
  3. Step 3: Cross multiply
    19,132.90x = 26,407.68 × 10,638
  4. Step 4: Simplify right side
    19,132.90x = 280,924,899.84
  5. Step 5: Solve for x
    x = 280,924,899.84/19,132.90
  6. Step 6: Final answer
    x = 14,682.82

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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.