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Finding the Fourth Proportional to 22,820.89, 31,489.70 and 12,748.08

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Solution

The fourth proportional to 22,820.89, 31,489.70 and 12,748.08 is: 17,590.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,820.89 : 31,489.70 = 12,748.08 : x
  2. Step 2: Convert to fraction form
    22,820.89/31,489.70 = 12,748.08/x
  3. Step 3: Cross multiply
    22,820.89x = 31,489.70 × 12,748.08
  4. Step 4: Simplify right side
    22,820.89x = 401,433,214.78
  5. Step 5: Solve for x
    x = 401,433,214.78/22,820.89
  6. Step 6: Final answer
    x = 17,590.60

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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.