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Finding the Fourth Proportional to 29,657.39, 40,927.58 and 17,082.14

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Solution

The fourth proportional to 29,657.39, 40,927.58 and 17,082.14 is: 23,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,657.39 : 40,927.58 = 17,082.14 : x
  2. Step 2: Convert to fraction form
    29,657.39/40,927.58 = 17,082.14/x
  3. Step 3: Cross multiply
    29,657.39x = 40,927.58 × 17,082.14
  4. Step 4: Simplify right side
    29,657.39x = 699,130,655.65
  5. Step 5: Solve for x
    x = 699,130,655.65/29,657.39
  6. Step 6: Final answer
    x = 23,573.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.