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Finding the Fourth Proportional to 22,143.32, 30,561.72 and 13,196

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Solution

The fourth proportional to 22,143.32, 30,561.72 and 13,196 is: 18,212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,143.32 : 30,561.72 = 13,196 : x
  2. Step 2: Convert to fraction form
    22,143.32/30,561.72 = 13,196/x
  3. Step 3: Cross multiply
    22,143.32x = 30,561.72 × 13,196
  4. Step 4: Simplify right side
    22,143.32x = 403,292,457.12
  5. Step 5: Solve for x
    x = 403,292,457.12/22,143.32
  6. Step 6: Final answer
    x = 18,212.83

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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.