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Finding the Fourth Proportional to 19,402.16, 29,111.88 and 10,166

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Solution

The fourth proportional to 19,402.16, 29,111.88 and 10,166 is: 15,253.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,402.16 : 29,111.88 = 10,166 : x
  2. Step 2: Convert to fraction form
    19,402.16/29,111.88 = 10,166/x
  3. Step 3: Cross multiply
    19,402.16x = 29,111.88 × 10,166
  4. Step 4: Simplify right side
    19,402.16x = 295,951,372.08
  5. Step 5: Solve for x
    x = 295,951,372.08/19,402.16
  6. Step 6: Final answer
    x = 15,253.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.