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Finding the Fourth Proportional to 15,027.32, 20,730.71 and 9,723.84

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Solution

The fourth proportional to 15,027.32, 20,730.71 and 9,723.84 is: 13,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,027.32 : 20,730.71 = 9,723.84 : x
  2. Step 2: Convert to fraction form
    15,027.32/20,730.71 = 9,723.84/x
  3. Step 3: Cross multiply
    15,027.32x = 20,730.71 × 9,723.84
  4. Step 4: Simplify right side
    15,027.32x = 201,582,058.51
  5. Step 5: Solve for x
    x = 201,582,058.51/15,027.32
  6. Step 6: Final answer
    x = 13,414.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.