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Finding the Fourth Proportional to 10,292.27, 15,438.20 and 10,018.89

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Solution

The fourth proportional to 10,292.27, 15,438.20 and 10,018.89 is: 15,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.27 : 15,438.20 = 10,018.89 : x
  2. Step 2: Convert to fraction form
    10,292.27/15,438.20 = 10,018.89/x
  3. Step 3: Cross multiply
    10,292.27x = 15,438.20 × 10,018.89
  4. Step 4: Simplify right side
    10,292.27x = 154,673,577.50
  5. Step 5: Solve for x
    x = 154,673,577.50/10,292.27
  6. Step 6: Final answer
    x = 15,028.14

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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.