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Finding the Fourth Proportional to 14,569.86, 20,106.42 and 8,282.28

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Solution

The fourth proportional to 14,569.86, 20,106.42 and 8,282.28 is: 11,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569.86 : 20,106.42 = 8,282.28 : x
  2. Step 2: Convert to fraction form
    14,569.86/20,106.42 = 8,282.28/x
  3. Step 3: Cross multiply
    14,569.86x = 20,106.42 × 8,282.28
  4. Step 4: Simplify right side
    14,569.86x = 166,527,000.24
  5. Step 5: Solve for x
    x = 166,527,000.24/14,569.86
  6. Step 6: Final answer
    x = 11,429.55

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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.