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Finding the Fourth Proportional to 16,244.39, 22,412.18 and 9,530.30

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Solution

The fourth proportional to 16,244.39, 22,412.18 and 9,530.30 is: 13,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,244.39 : 22,412.18 = 9,530.30 : x
  2. Step 2: Convert to fraction form
    16,244.39/22,412.18 = 9,530.30/x
  3. Step 3: Cross multiply
    16,244.39x = 22,412.18 × 9,530.30
  4. Step 4: Simplify right side
    16,244.39x = 213,594,878.91
  5. Step 5: Solve for x
    x = 213,594,878.91/16,244.39
  6. Step 6: Final answer
    x = 13,148.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.