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Finding the Fourth Proportional to 22,784.67, 31,434.44 and 13,349.79

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Solution

The fourth proportional to 22,784.67, 31,434.44 and 13,349.79 is: 18,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784.67 : 31,434.44 = 13,349.79 : x
  2. Step 2: Convert to fraction form
    22,784.67/31,434.44 = 13,349.79/x
  3. Step 3: Cross multiply
    22,784.67x = 31,434.44 × 13,349.79
  4. Step 4: Simplify right side
    22,784.67x = 419,643,106.02
  5. Step 5: Solve for x
    x = 419,643,106.02/22,784.67
  6. Step 6: Final answer
    x = 18,417.78

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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.