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Finding the Fourth Proportional to 15,975.34, 22,045.98 and 8,903.14

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Solution

The fourth proportional to 15,975.34, 22,045.98 and 8,903.14 is: 12,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,975.34 : 22,045.98 = 8,903.14 : x
  2. Step 2: Convert to fraction form
    15,975.34/22,045.98 = 8,903.14/x
  3. Step 3: Cross multiply
    15,975.34x = 22,045.98 × 8,903.14
  4. Step 4: Simplify right side
    15,975.34x = 196,278,446.38
  5. Step 5: Solve for x
    x = 196,278,446.38/15,975.34
  6. Step 6: Final answer
    x = 12,286.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.