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Finding the Fourth Proportional to 15,031.14, 20,742.80 and 8,316.71

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Solution

The fourth proportional to 15,031.14, 20,742.80 and 8,316.71 is: 11,476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,031.14 : 20,742.80 = 8,316.71 : x
  2. Step 2: Convert to fraction form
    15,031.14/20,742.80 = 8,316.71/x
  3. Step 3: Cross multiply
    15,031.14x = 20,742.80 × 8,316.71
  4. Step 4: Simplify right side
    15,031.14x = 172,511,852.19
  5. Step 5: Solve for x
    x = 172,511,852.19/15,031.14
  6. Step 6: Final answer
    x = 11,476.96

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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.