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Finding the Fourth Proportional to 20,559.06, 30,836.16 and 8,088.30

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Solution

The fourth proportional to 20,559.06, 30,836.16 and 8,088.30 is: 12,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,559.06 : 30,836.16 = 8,088.30 : x
  2. Step 2: Convert to fraction form
    20,559.06/30,836.16 = 8,088.30/x
  3. Step 3: Cross multiply
    20,559.06x = 30,836.16 × 8,088.30
  4. Step 4: Simplify right side
    20,559.06x = 249,412,112.93
  5. Step 5: Solve for x
    x = 249,412,112.93/20,559.06
  6. Step 6: Final answer
    x = 12,131.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.