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Finding the Fourth Proportional to 14,532.66, 20,056.54 and 8,566.24

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Solution

The fourth proportional to 14,532.66, 20,056.54 and 8,566.24 is: 11,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.66 : 20,056.54 = 8,566.24 : x
  2. Step 2: Convert to fraction form
    14,532.66/20,056.54 = 8,566.24/x
  3. Step 3: Cross multiply
    14,532.66x = 20,056.54 × 8,566.24
  4. Step 4: Simplify right side
    14,532.66x = 171,809,135.21
  5. Step 5: Solve for x
    x = 171,809,135.21/14,532.66
  6. Step 6: Final answer
    x = 11,822.28

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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.