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Finding the Fourth Proportional to 15,742.40, 21,723.84 and 9,023.22

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Solution

The fourth proportional to 15,742.40, 21,723.84 and 9,023.22 is: 12,451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742.40 : 21,723.84 = 9,023.22 : x
  2. Step 2: Convert to fraction form
    15,742.40/21,723.84 = 9,023.22/x
  3. Step 3: Cross multiply
    15,742.40x = 21,723.84 × 9,023.22
  4. Step 4: Simplify right side
    15,742.40x = 196,018,987.56
  5. Step 5: Solve for x
    x = 196,018,987.56/15,742.40
  6. Step 6: Final answer
    x = 12,451.66

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