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Finding the Fourth Proportional to 29,461.40, 44,194.56 and 12,822

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Solution

The fourth proportional to 29,461.40, 44,194.56 and 12,822 is: 19,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,461.40 : 44,194.56 = 12,822 : x
  2. Step 2: Convert to fraction form
    29,461.40/44,194.56 = 12,822/x
  3. Step 3: Cross multiply
    29,461.40x = 44,194.56 × 12,822
  4. Step 4: Simplify right side
    29,461.40x = 566,662,648.32
  5. Step 5: Solve for x
    x = 566,662,648.32/29,461.40
  6. Step 6: Final answer
    x = 19,234.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.