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Finding the Fourth Proportional to 22,184.64, 30,614.63 and 12,113.06

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Solution

The fourth proportional to 22,184.64, 30,614.63 and 12,113.06 is: 16,715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,184.64 : 30,614.63 = 12,113.06 : x
  2. Step 2: Convert to fraction form
    22,184.64/30,614.63 = 12,113.06/x
  3. Step 3: Cross multiply
    22,184.64x = 30,614.63 × 12,113.06
  4. Step 4: Simplify right side
    22,184.64x = 370,836,636.43
  5. Step 5: Solve for x
    x = 370,836,636.43/22,184.64
  6. Step 6: Final answer
    x = 16,715.92

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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.