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Finding the Fourth Proportional to 26,294, 36,285.88 and 15,116.08

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Solution

The fourth proportional to 26,294, 36,285.88 and 15,116.08 is: 20,860.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,294 : 36,285.88 = 15,116.08 : x
  2. Step 2: Convert to fraction form
    26,294/36,285.88 = 15,116.08/x
  3. Step 3: Cross multiply
    26,294x = 36,285.88 × 15,116.08
  4. Step 4: Simplify right side
    26,294x = 548,500,264.95
  5. Step 5: Solve for x
    x = 548,500,264.95/26,294
  6. Step 6: Final answer
    x = 20,860.28

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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.