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Finding the Fourth Proportional to 22,402.40, 30,913.50 and 12,971.56

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Solution

The fourth proportional to 22,402.40, 30,913.50 and 12,971.56 is: 17,899.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,402.40 : 30,913.50 = 12,971.56 : x
  2. Step 2: Convert to fraction form
    22,402.40/30,913.50 = 12,971.56/x
  3. Step 3: Cross multiply
    22,402.40x = 30,913.50 × 12,971.56
  4. Step 4: Simplify right side
    22,402.40x = 400,996,320.06
  5. Step 5: Solve for x
    x = 400,996,320.06/22,402.40
  6. Step 6: Final answer
    x = 17,899.70

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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.