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Finding the Fourth Proportional to 15,723.66, 23,569.08 and 5,858.64

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Solution

The fourth proportional to 15,723.66, 23,569.08 and 5,858.64 is: 8,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723.66 : 23,569.08 = 5,858.64 : x
  2. Step 2: Convert to fraction form
    15,723.66/23,569.08 = 5,858.64/x
  3. Step 3: Cross multiply
    15,723.66x = 23,569.08 × 5,858.64
  4. Step 4: Simplify right side
    15,723.66x = 138,082,754.85
  5. Step 5: Solve for x
    x = 138,082,754.85/15,723.66
  6. Step 6: Final answer
    x = 8,781.85

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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.