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Finding the Fourth Proportional to 12,031.86, 18,048.88 and 3,712

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Solution

The fourth proportional to 12,031.86, 18,048.88 and 3,712 is: 5,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.86 : 18,048.88 = 3,712 : x
  2. Step 2: Convert to fraction form
    12,031.86/18,048.88 = 3,712/x
  3. Step 3: Cross multiply
    12,031.86x = 18,048.88 × 3,712
  4. Step 4: Simplify right side
    12,031.86x = 66,997,442.56
  5. Step 5: Solve for x
    x = 66,997,442.56/12,031.86
  6. Step 6: Final answer
    x = 5,568.34

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