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Finding the Fourth Proportional to 22,403.84, 30,917.80 and 12,333.16

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Solution

The fourth proportional to 22,403.84, 30,917.80 and 12,333.16 is: 17,020.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,403.84 : 30,917.80 = 12,333.16 : x
  2. Step 2: Convert to fraction form
    22,403.84/30,917.80 = 12,333.16/x
  3. Step 3: Cross multiply
    22,403.84x = 30,917.80 × 12,333.16
  4. Step 4: Simplify right side
    22,403.84x = 381,314,228.31
  5. Step 5: Solve for x
    x = 381,314,228.31/22,403.84
  6. Step 6: Final answer
    x = 17,020.04

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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.