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Finding the Fourth Proportional to 14,559.39, 20,089.35 and 8,184.15

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Solution

The fourth proportional to 14,559.39, 20,089.35 and 8,184.15 is: 11,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,559.39 : 20,089.35 = 8,184.15 : x
  2. Step 2: Convert to fraction form
    14,559.39/20,089.35 = 8,184.15/x
  3. Step 3: Cross multiply
    14,559.39x = 20,089.35 × 8,184.15
  4. Step 4: Simplify right side
    14,559.39x = 164,414,253.80
  5. Step 5: Solve for x
    x = 164,414,253.80/14,559.39
  6. Step 6: Final answer
    x = 11,292.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.