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Finding the Fourth Proportional to 13,605, 20,416.14 and 5,397

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Solution

The fourth proportional to 13,605, 20,416.14 and 5,397 is: 8,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605 : 20,416.14 = 5,397 : x
  2. Step 2: Convert to fraction form
    13,605/20,416.14 = 5,397/x
  3. Step 3: Cross multiply
    13,605x = 20,416.14 × 5,397
  4. Step 4: Simplify right side
    13,605x = 110,185,907.58
  5. Step 5: Solve for x
    x = 110,185,907.58/13,605
  6. Step 6: Final answer
    x = 8,098.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.