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Finding the Fourth Proportional to 22,102.22, 30,501.71 and 12,031.31

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Solution

The fourth proportional to 22,102.22, 30,501.71 and 12,031.31 is: 16,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.22 : 30,501.71 = 12,031.31 : x
  2. Step 2: Convert to fraction form
    22,102.22/30,501.71 = 12,031.31/x
  3. Step 3: Cross multiply
    22,102.22x = 30,501.71 × 12,031.31
  4. Step 4: Simplify right side
    22,102.22x = 366,975,315.88
  5. Step 5: Solve for x
    x = 366,975,315.88/22,102.22
  6. Step 6: Final answer
    x = 16,603.55

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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.