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Finding the Fourth Proportional to 22,184.63, 30,614.85 and 12,113.16

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Solution

The fourth proportional to 22,184.63, 30,614.85 and 12,113.16 is: 16,716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,184.63 : 30,614.85 = 12,113.16 : x
  2. Step 2: Convert to fraction form
    22,184.63/30,614.85 = 12,113.16/x
  3. Step 3: Cross multiply
    22,184.63x = 30,614.85 × 12,113.16
  4. Step 4: Simplify right side
    22,184.63x = 370,842,423.35
  5. Step 5: Solve for x
    x = 370,842,423.35/22,184.63
  6. Step 6: Final answer
    x = 16,716.19

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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.