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Finding the Fourth Proportional to 22,784.70, 31,430.25 and 13,351.44

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Solution

The fourth proportional to 22,784.70, 31,430.25 and 13,351.44 is: 18,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784.70 : 31,430.25 = 13,351.44 : x
  2. Step 2: Convert to fraction form
    22,784.70/31,430.25 = 13,351.44/x
  3. Step 3: Cross multiply
    22,784.70x = 31,430.25 × 13,351.44
  4. Step 4: Simplify right side
    22,784.70x = 419,639,097.06
  5. Step 5: Solve for x
    x = 419,639,097.06/22,784.70
  6. Step 6: Final answer
    x = 18,417.58

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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.