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Finding the Fourth Proportional to 22,946.69, 31,684.35 and 14,884.18

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Solution

The fourth proportional to 22,946.69, 31,684.35 and 14,884.18 is: 20,551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,946.69 : 31,684.35 = 14,884.18 : x
  2. Step 2: Convert to fraction form
    22,946.69/31,684.35 = 14,884.18/x
  3. Step 3: Cross multiply
    22,946.69x = 31,684.35 × 14,884.18
  4. Step 4: Simplify right side
    22,946.69x = 471,595,410.16
  5. Step 5: Solve for x
    x = 471,595,410.16/22,946.69
  6. Step 6: Final answer
    x = 20,551.78

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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.