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Finding the Fourth Proportional to 20,341.80, 30,525.66 and 8,655

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Solution

The fourth proportional to 20,341.80, 30,525.66 and 8,655 is: 12,988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,341.80 : 30,525.66 = 8,655 : x
  2. Step 2: Convert to fraction form
    20,341.80/30,525.66 = 8,655/x
  3. Step 3: Cross multiply
    20,341.80x = 30,525.66 × 8,655
  4. Step 4: Simplify right side
    20,341.80x = 264,199,587.30
  5. Step 5: Solve for x
    x = 264,199,587.30/20,341.80
  6. Step 6: Final answer
    x = 12,988.01

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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.