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Finding the Fourth Proportional to 15,823.64, 23,728.32 and 4,726.64

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Solution

The fourth proportional to 15,823.64, 23,728.32 and 4,726.64 is: 7,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.64 : 23,728.32 = 4,726.64 : x
  2. Step 2: Convert to fraction form
    15,823.64/23,728.32 = 4,726.64/x
  3. Step 3: Cross multiply
    15,823.64x = 23,728.32 × 4,726.64
  4. Step 4: Simplify right side
    15,823.64x = 112,155,226.44
  5. Step 5: Solve for x
    x = 112,155,226.44/15,823.64
  6. Step 6: Final answer
    x = 7,087.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.