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Finding the Fourth Proportional to 12,024.78, 16,587.90 and 7,540.08

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Solution

The fourth proportional to 12,024.78, 16,587.90 and 7,540.08 is: 10,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.78 : 16,587.90 = 7,540.08 : x
  2. Step 2: Convert to fraction form
    12,024.78/16,587.90 = 7,540.08/x
  3. Step 3: Cross multiply
    12,024.78x = 16,587.90 × 7,540.08
  4. Step 4: Simplify right side
    12,024.78x = 125,074,093.03
  5. Step 5: Solve for x
    x = 125,074,093.03/12,024.78
  6. Step 6: Final answer
    x = 10,401.36

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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.