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Finding the Fourth Proportional to 15,322.99, 22,985.80 and 4,229.68

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Solution

The fourth proportional to 15,322.99, 22,985.80 and 4,229.68 is: 6,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.99 : 22,985.80 = 4,229.68 : x
  2. Step 2: Convert to fraction form
    15,322.99/22,985.80 = 4,229.68/x
  3. Step 3: Cross multiply
    15,322.99x = 22,985.80 × 4,229.68
  4. Step 4: Simplify right side
    15,322.99x = 97,222,463.62
  5. Step 5: Solve for x
    x = 97,222,463.62/15,322.99
  6. Step 6: Final answer
    x = 6,344.88

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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.