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Finding the Fourth Proportional to 29,581.71, 40,822.86 and 18,971.40

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Solution

The fourth proportional to 29,581.71, 40,822.86 and 18,971.40 is: 26,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,581.71 : 40,822.86 = 18,971.40 : x
  2. Step 2: Convert to fraction form
    29,581.71/40,822.86 = 18,971.40/x
  3. Step 3: Cross multiply
    29,581.71x = 40,822.86 × 18,971.40
  4. Step 4: Simplify right side
    29,581.71x = 774,466,806.20
  5. Step 5: Solve for x
    x = 774,466,806.20/29,581.71
  6. Step 6: Final answer
    x = 26,180.60

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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.