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Finding the Fourth Proportional to 27,124.50, 40,686.99 and 9,597.30

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Solution

The fourth proportional to 27,124.50, 40,686.99 and 9,597.30 is: 14,396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,124.50 : 40,686.99 = 9,597.30 : x
  2. Step 2: Convert to fraction form
    27,124.50/40,686.99 = 9,597.30/x
  3. Step 3: Cross multiply
    27,124.50x = 40,686.99 × 9,597.30
  4. Step 4: Simplify right side
    27,124.50x = 390,485,249.13
  5. Step 5: Solve for x
    x = 390,485,249.13/27,124.50
  6. Step 6: Final answer
    x = 14,396.03

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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.