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Finding the Fourth Proportional to 34,417, 51,594.88 and 12,227.44

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Solution

The fourth proportional to 34,417, 51,594.88 and 12,227.44 is: 18,330.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,417 : 51,594.88 = 12,227.44 : x
  2. Step 2: Convert to fraction form
    34,417/51,594.88 = 12,227.44/x
  3. Step 3: Cross multiply
    34,417x = 51,594.88 × 12,227.44
  4. Step 4: Simplify right side
    34,417x = 630,873,299.51
  5. Step 5: Solve for x
    x = 630,873,299.51/34,417
  6. Step 6: Final answer
    x = 18,330.28

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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.