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Finding the Fourth Proportional to 26,142.03, 39,214.56 and 9,502

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Solution

The fourth proportional to 26,142.03, 39,214.56 and 9,502 is: 14,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,142.03 : 39,214.56 = 9,502 : x
  2. Step 2: Convert to fraction form
    26,142.03/39,214.56 = 9,502/x
  3. Step 3: Cross multiply
    26,142.03x = 39,214.56 × 9,502
  4. Step 4: Simplify right side
    26,142.03x = 372,616,749.12
  5. Step 5: Solve for x
    x = 372,616,749.12/26,142.03
  6. Step 6: Final answer
    x = 14,253.55

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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.