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Finding the Fourth Proportional to 18,281.34, 27,421.92 and 4,430.34

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Solution

The fourth proportional to 18,281.34, 27,421.92 and 4,430.34 is: 6,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,281.34 : 27,421.92 = 4,430.34 : x
  2. Step 2: Convert to fraction form
    18,281.34/27,421.92 = 4,430.34/x
  3. Step 3: Cross multiply
    18,281.34x = 27,421.92 × 4,430.34
  4. Step 4: Simplify right side
    18,281.34x = 121,488,429.05
  5. Step 5: Solve for x
    x = 121,488,429.05/18,281.34
  6. Step 6: Final answer
    x = 6,645.49

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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.