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Finding the Fourth Proportional to 22,784.99, 31,443.30 and 13,226.76

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Solution

The fourth proportional to 22,784.99, 31,443.30 and 13,226.76 is: 18,252.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784.99 : 31,443.30 = 13,226.76 : x
  2. Step 2: Convert to fraction form
    22,784.99/31,443.30 = 13,226.76/x
  3. Step 3: Cross multiply
    22,784.99x = 31,443.30 × 13,226.76
  4. Step 4: Simplify right side
    22,784.99x = 415,892,982.71
  5. Step 5: Solve for x
    x = 415,892,982.71/22,784.99
  6. Step 6: Final answer
    x = 18,252.94

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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.