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Finding the Fourth Proportional to 22,677.60, 31,290.26 and 13,723.32

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Solution

The fourth proportional to 22,677.60, 31,290.26 and 13,723.32 is: 18,935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.60 : 31,290.26 = 13,723.32 : x
  2. Step 2: Convert to fraction form
    22,677.60/31,290.26 = 13,723.32/x
  3. Step 3: Cross multiply
    22,677.60x = 31,290.26 × 13,723.32
  4. Step 4: Simplify right side
    22,677.60x = 429,406,250.86
  5. Step 5: Solve for x
    x = 429,406,250.86/22,677.60
  6. Step 6: Final answer
    x = 18,935.26

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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.