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Finding the Fourth Proportional to 15,385.82, 21,233.97 and 9,421.43

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Solution

The fourth proportional to 15,385.82, 21,233.97 and 9,421.43 is: 13,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,385.82 : 21,233.97 = 9,421.43 : x
  2. Step 2: Convert to fraction form
    15,385.82/21,233.97 = 9,421.43/x
  3. Step 3: Cross multiply
    15,385.82x = 21,233.97 × 9,421.43
  4. Step 4: Simplify right side
    15,385.82x = 200,054,255.81
  5. Step 5: Solve for x
    x = 200,054,255.81/15,385.82
  6. Step 6: Final answer
    x = 13,002.51

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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.