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Finding the Fourth Proportional to 22,105.71, 30,494.48 and 13,707.63

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Solution

The fourth proportional to 22,105.71, 30,494.48 and 13,707.63 is: 18,909.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,105.71 : 30,494.48 = 13,707.63 : x
  2. Step 2: Convert to fraction form
    22,105.71/30,494.48 = 13,707.63/x
  3. Step 3: Cross multiply
    22,105.71x = 30,494.48 × 13,707.63
  4. Step 4: Simplify right side
    22,105.71x = 418,006,980.34
  5. Step 5: Solve for x
    x = 418,006,980.34/22,105.71
  6. Step 6: Final answer
    x = 18,909.46

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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.