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Finding the Fourth Proportional to 13,432.98, 18,536.10 and 7,766.82

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Solution

The fourth proportional to 13,432.98, 18,536.10 and 7,766.82 is: 10,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.98 : 18,536.10 = 7,766.82 : x
  2. Step 2: Convert to fraction form
    13,432.98/18,536.10 = 7,766.82/x
  3. Step 3: Cross multiply
    13,432.98x = 18,536.10 × 7,766.82
  4. Step 4: Simplify right side
    13,432.98x = 143,966,552.20
  5. Step 5: Solve for x
    x = 143,966,552.20/13,432.98
  6. Step 6: Final answer
    x = 10,717.39

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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.