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Finding the Fourth Proportional to 22,131.32, 30,545.16 and 13,184

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Solution

The fourth proportional to 22,131.32, 30,545.16 and 13,184 is: 18,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,131.32 : 30,545.16 = 13,184 : x
  2. Step 2: Convert to fraction form
    22,131.32/30,545.16 = 13,184/x
  3. Step 3: Cross multiply
    22,131.32x = 30,545.16 × 13,184
  4. Step 4: Simplify right side
    22,131.32x = 402,707,389.44
  5. Step 5: Solve for x
    x = 402,707,389.44/22,131.32
  6. Step 6: Final answer
    x = 18,196.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.