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Finding the Fourth Proportional to 22,857.68, 31,536.60 and 14,897

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Solution

The fourth proportional to 22,857.68, 31,536.60 and 14,897 is: 20,553.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.68 : 31,536.60 = 14,897 : x
  2. Step 2: Convert to fraction form
    22,857.68/31,536.60 = 14,897/x
  3. Step 3: Cross multiply
    22,857.68x = 31,536.60 × 14,897
  4. Step 4: Simplify right side
    22,857.68x = 469,800,730.20
  5. Step 5: Solve for x
    x = 469,800,730.20/22,857.68
  6. Step 6: Final answer
    x = 20,553.30

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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.