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Finding the Fourth Proportional to 22,346.11, 30,829.04 and 12,784.06

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Solution

The fourth proportional to 22,346.11, 30,829.04 and 12,784.06 is: 17,637.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,346.11 : 30,829.04 = 12,784.06 : x
  2. Step 2: Convert to fraction form
    22,346.11/30,829.04 = 12,784.06/x
  3. Step 3: Cross multiply
    22,346.11x = 30,829.04 × 12,784.06
  4. Step 4: Simplify right side
    22,346.11x = 394,120,319.66
  5. Step 5: Solve for x
    x = 394,120,319.66/22,346.11
  6. Step 6: Final answer
    x = 17,637.09

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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.