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Finding the Fourth Proportional to 22,722.75, 34,085.34 and 7,141.59

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Solution

The fourth proportional to 22,722.75, 34,085.34 and 7,141.59 is: 10,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,722.75 : 34,085.34 = 7,141.59 : x
  2. Step 2: Convert to fraction form
    22,722.75/34,085.34 = 7,141.59/x
  3. Step 3: Cross multiply
    22,722.75x = 34,085.34 × 7,141.59
  4. Step 4: Simplify right side
    22,722.75x = 243,423,523.29
  5. Step 5: Solve for x
    x = 243,423,523.29/22,722.75
  6. Step 6: Final answer
    x = 10,712.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.