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Finding the Fourth Proportional to 22,102.72, 30,502.40 and 12,031.81

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Solution

The fourth proportional to 22,102.72, 30,502.40 and 12,031.81 is: 16,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.72 : 30,502.40 = 12,031.81 : x
  2. Step 2: Convert to fraction form
    22,102.72/30,502.40 = 12,031.81/x
  3. Step 3: Cross multiply
    22,102.72x = 30,502.40 × 12,031.81
  4. Step 4: Simplify right side
    22,102.72x = 366,999,081.34
  5. Step 5: Solve for x
    x = 366,999,081.34/22,102.72
  6. Step 6: Final answer
    x = 16,604.25

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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.