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Finding the Fourth Proportional to 22,681.86, 31,296.12 and 13,727.58

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Solution

The fourth proportional to 22,681.86, 31,296.12 and 13,727.58 is: 18,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.86 : 31,296.12 = 13,727.58 : x
  2. Step 2: Convert to fraction form
    22,681.86/31,296.12 = 13,727.58/x
  3. Step 3: Cross multiply
    22,681.86x = 31,296.12 × 13,727.58
  4. Step 4: Simplify right side
    22,681.86x = 429,619,990.99
  5. Step 5: Solve for x
    x = 429,619,990.99/22,681.86
  6. Step 6: Final answer
    x = 18,941.13

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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.