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Finding the Fourth Proportional to 26,434.90, 36,470.70 and 15,096.22

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Solution

The fourth proportional to 26,434.90, 36,470.70 and 15,096.22 is: 20,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,434.90 : 36,470.70 = 15,096.22 : x
  2. Step 2: Convert to fraction form
    26,434.90/36,470.70 = 15,096.22/x
  3. Step 3: Cross multiply
    26,434.90x = 36,470.70 × 15,096.22
  4. Step 4: Simplify right side
    26,434.90x = 550,569,710.75
  5. Step 5: Solve for x
    x = 550,569,710.75/26,434.90
  6. Step 6: Final answer
    x = 20,827.38

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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.