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Finding the Fourth Proportional to 15,402.96, 21,251.16 and 9,114.12

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Solution

The fourth proportional to 15,402.96, 21,251.16 and 9,114.12 is: 12,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,402.96 : 21,251.16 = 9,114.12 : x
  2. Step 2: Convert to fraction form
    15,402.96/21,251.16 = 9,114.12/x
  3. Step 3: Cross multiply
    15,402.96x = 21,251.16 × 9,114.12
  4. Step 4: Simplify right side
    15,402.96x = 193,685,622.38
  5. Step 5: Solve for x
    x = 193,685,622.38/15,402.96
  6. Step 6: Final answer
    x = 12,574.57

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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.