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Finding the Fourth Proportional to 14,829.66, 20,472.39 and 11,464.86

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Solution

The fourth proportional to 14,829.66, 20,472.39 and 11,464.86 is: 15,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829.66 : 20,472.39 = 11,464.86 : x
  2. Step 2: Convert to fraction form
    14,829.66/20,472.39 = 11,464.86/x
  3. Step 3: Cross multiply
    14,829.66x = 20,472.39 × 11,464.86
  4. Step 4: Simplify right side
    14,829.66x = 234,713,085.22
  5. Step 5: Solve for x
    x = 234,713,085.22/14,829.66
  6. Step 6: Final answer
    x = 15,827.27

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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.