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Finding the Fourth Proportional to 22,913.67, 31,620.63 and 12,842.55

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Solution

The fourth proportional to 22,913.67, 31,620.63 and 12,842.55 is: 17,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,913.67 : 31,620.63 = 12,842.55 : x
  2. Step 2: Convert to fraction form
    22,913.67/31,620.63 = 12,842.55/x
  3. Step 3: Cross multiply
    22,913.67x = 31,620.63 × 12,842.55
  4. Step 4: Simplify right side
    22,913.67x = 406,089,521.81
  5. Step 5: Solve for x
    x = 406,089,521.81/22,913.67
  6. Step 6: Final answer
    x = 17,722.59

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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.