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Finding the Fourth Proportional to 22,346.06, 30,836.07 and 12,784.77

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Solution

The fourth proportional to 22,346.06, 30,836.07 and 12,784.77 is: 17,642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,346.06 : 30,836.07 = 12,784.77 : x
  2. Step 2: Convert to fraction form
    22,346.06/30,836.07 = 12,784.77/x
  3. Step 3: Cross multiply
    22,346.06x = 30,836.07 × 12,784.77
  4. Step 4: Simplify right side
    22,346.06x = 394,232,062.65
  5. Step 5: Solve for x
    x = 394,232,062.65/22,346.06
  6. Step 6: Final answer
    x = 17,642.13

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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.