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Finding the Fourth Proportional to 20,886.69, 31,290.80 and 10,344.45

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Solution

The fourth proportional to 20,886.69, 31,290.80 and 10,344.45 is: 15,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,886.69 : 31,290.80 = 10,344.45 : x
  2. Step 2: Convert to fraction form
    20,886.69/31,290.80 = 10,344.45/x
  3. Step 3: Cross multiply
    20,886.69x = 31,290.80 × 10,344.45
  4. Step 4: Simplify right side
    20,886.69x = 323,686,064.34
  5. Step 5: Solve for x
    x = 323,686,064.34/20,886.69
  6. Step 6: Final answer
    x = 15,497.24

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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.