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Finding the Fourth Proportional to 14,002.50, 20,986.65 and 6,597.12

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Solution

The fourth proportional to 14,002.50, 20,986.65 and 6,597.12 is: 9,887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.50 : 20,986.65 = 6,597.12 : x
  2. Step 2: Convert to fraction form
    14,002.50/20,986.65 = 6,597.12/x
  3. Step 3: Cross multiply
    14,002.50x = 20,986.65 × 6,597.12
  4. Step 4: Simplify right side
    14,002.50x = 138,451,448.45
  5. Step 5: Solve for x
    x = 138,451,448.45/14,002.50
  6. Step 6: Final answer
    x = 9,887.62

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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.