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Finding the Fourth Proportional to 22,106.34, 30,508.11 and 12,677.94

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Solution

The fourth proportional to 22,106.34, 30,508.11 and 12,677.94 is: 17,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106.34 : 30,508.11 = 12,677.94 : x
  2. Step 2: Convert to fraction form
    22,106.34/30,508.11 = 12,677.94/x
  3. Step 3: Cross multiply
    22,106.34x = 30,508.11 × 12,677.94
  4. Step 4: Simplify right side
    22,106.34x = 386,779,988.09
  5. Step 5: Solve for x
    x = 386,779,988.09/22,106.34
  6. Step 6: Final answer
    x = 17,496.34

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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.