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Finding the Fourth Proportional to 19,758.56, 29,633.40 and 5,715.45

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Solution

The fourth proportional to 19,758.56, 29,633.40 and 5,715.45 is: 8,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.56 : 29,633.40 = 5,715.45 : x
  2. Step 2: Convert to fraction form
    19,758.56/29,633.40 = 5,715.45/x
  3. Step 3: Cross multiply
    19,758.56x = 29,633.40 × 5,715.45
  4. Step 4: Simplify right side
    19,758.56x = 169,368,216.03
  5. Step 5: Solve for x
    x = 169,368,216.03/19,758.56
  6. Step 6: Final answer
    x = 8,571.89

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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.