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Finding the Fourth Proportional to 15,726.32, 23,590.32 and 4,039.64

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Solution

The fourth proportional to 15,726.32, 23,590.32 and 4,039.64 is: 6,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726.32 : 23,590.32 = 4,039.64 : x
  2. Step 2: Convert to fraction form
    15,726.32/23,590.32 = 4,039.64/x
  3. Step 3: Cross multiply
    15,726.32x = 23,590.32 × 4,039.64
  4. Step 4: Simplify right side
    15,726.32x = 95,296,400.28
  5. Step 5: Solve for x
    x = 95,296,400.28/15,726.32
  6. Step 6: Final answer
    x = 6,059.68

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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.