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Finding the Fourth Proportional to 14,292.68, 21,447.84 and 6,897.86

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Solution

The fourth proportional to 14,292.68, 21,447.84 and 6,897.86 is: 10,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292.68 : 21,447.84 = 6,897.86 : x
  2. Step 2: Convert to fraction form
    14,292.68/21,447.84 = 6,897.86/x
  3. Step 3: Cross multiply
    14,292.68x = 21,447.84 × 6,897.86
  4. Step 4: Simplify right side
    14,292.68x = 147,944,197.62
  5. Step 5: Solve for x
    x = 147,944,197.62/14,292.68
  6. Step 6: Final answer
    x = 10,351.05

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