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Finding the Fourth Proportional to 14,906.25, 20,569.88 and 8,936.75

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Solution

The fourth proportional to 14,906.25, 20,569.88 and 8,936.75 is: 12,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.25 : 20,569.88 = 8,936.75 : x
  2. Step 2: Convert to fraction form
    14,906.25/20,569.88 = 8,936.75/x
  3. Step 3: Cross multiply
    14,906.25x = 20,569.88 × 8,936.75
  4. Step 4: Simplify right side
    14,906.25x = 183,827,948.86
  5. Step 5: Solve for x
    x = 183,827,948.86/14,906.25
  6. Step 6: Final answer
    x = 12,332.27

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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.