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Finding the Fourth Proportional to 26,401.02, 39,602.13 and 8,871

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Solution

The fourth proportional to 26,401.02, 39,602.13 and 8,871 is: 13,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,401.02 : 39,602.13 = 8,871 : x
  2. Step 2: Convert to fraction form
    26,401.02/39,602.13 = 8,871/x
  3. Step 3: Cross multiply
    26,401.02x = 39,602.13 × 8,871
  4. Step 4: Simplify right side
    26,401.02x = 351,310,495.23
  5. Step 5: Solve for x
    x = 351,310,495.23/26,401.02
  6. Step 6: Final answer
    x = 13,306.70

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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.