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Finding the Fourth Proportional to 15,726.42, 23,589.54 and 4,039.65

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Solution

The fourth proportional to 15,726.42, 23,589.54 and 4,039.65 is: 6,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726.42 : 23,589.54 = 4,039.65 : x
  2. Step 2: Convert to fraction form
    15,726.42/23,589.54 = 4,039.65/x
  3. Step 3: Cross multiply
    15,726.42x = 23,589.54 × 4,039.65
  4. Step 4: Simplify right side
    15,726.42x = 95,293,485.26
  5. Step 5: Solve for x
    x = 95,293,485.26/15,726.42
  6. Step 6: Final answer
    x = 6,059.45

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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.