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Finding the Fourth Proportional to 14,548.66, 20,078.64 and 8,582.26

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Solution

The fourth proportional to 14,548.66, 20,078.64 and 8,582.26 is: 11,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548.66 : 20,078.64 = 8,582.26 : x
  2. Step 2: Convert to fraction form
    14,548.66/20,078.64 = 8,582.26/x
  3. Step 3: Cross multiply
    14,548.66x = 20,078.64 × 8,582.26
  4. Step 4: Simplify right side
    14,548.66x = 172,320,108.93
  5. Step 5: Solve for x
    x = 172,320,108.93/14,548.66
  6. Step 6: Final answer
    x = 11,844.40

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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.