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Finding the Fourth Proportional to 21,031.68, 31,536.72 and 12,283.68

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Solution

The fourth proportional to 21,031.68, 31,536.72 and 12,283.68 is: 18,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,031.68 : 31,536.72 = 12,283.68 : x
  2. Step 2: Convert to fraction form
    21,031.68/31,536.72 = 12,283.68/x
  3. Step 3: Cross multiply
    21,031.68x = 31,536.72 × 12,283.68
  4. Step 4: Simplify right side
    21,031.68x = 387,386,976.73
  5. Step 5: Solve for x
    x = 387,386,976.73/21,031.68
  6. Step 6: Final answer
    x = 18,419.21

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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.