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Finding the Fourth Proportional to 22,710.58, 34,071.26 and 7,718.70

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Solution

The fourth proportional to 22,710.58, 34,071.26 and 7,718.70 is: 11,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,710.58 : 34,071.26 = 7,718.70 : x
  2. Step 2: Convert to fraction form
    22,710.58/34,071.26 = 7,718.70/x
  3. Step 3: Cross multiply
    22,710.58x = 34,071.26 × 7,718.70
  4. Step 4: Simplify right side
    22,710.58x = 262,985,834.56
  5. Step 5: Solve for x
    x = 262,985,834.56/22,710.58
  6. Step 6: Final answer
    x = 11,579.88

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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.