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Finding the Fourth Proportional to 22,271.10, 30,736.71 and 12,840

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Solution

The fourth proportional to 22,271.10, 30,736.71 and 12,840 is: 17,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.10 : 30,736.71 = 12,840 : x
  2. Step 2: Convert to fraction form
    22,271.10/30,736.71 = 12,840/x
  3. Step 3: Cross multiply
    22,271.10x = 30,736.71 × 12,840
  4. Step 4: Simplify right side
    22,271.10x = 394,659,356.40
  5. Step 5: Solve for x
    x = 394,659,356.40/22,271.10
  6. Step 6: Final answer
    x = 17,720.69

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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.