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Finding the Fourth Proportional to 12,430.74, 18,642.14 and 4,109.20

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Solution

The fourth proportional to 12,430.74, 18,642.14 and 4,109.20 is: 6,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.74 : 18,642.14 = 4,109.20 : x
  2. Step 2: Convert to fraction form
    12,430.74/18,642.14 = 4,109.20/x
  3. Step 3: Cross multiply
    12,430.74x = 18,642.14 × 4,109.20
  4. Step 4: Simplify right side
    12,430.74x = 76,604,281.69
  5. Step 5: Solve for x
    x = 76,604,281.69/12,430.74
  6. Step 6: Final answer
    x = 6,162.49

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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.