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Finding the Fourth Proportional to 12,430.98, 18,646.92 and 4,111.20

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Solution

The fourth proportional to 12,430.98, 18,646.92 and 4,111.20 is: 6,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.98 : 18,646.92 = 4,111.20 : x
  2. Step 2: Convert to fraction form
    12,430.98/18,646.92 = 4,111.20/x
  3. Step 3: Cross multiply
    12,430.98x = 18,646.92 × 4,111.20
  4. Step 4: Simplify right side
    12,430.98x = 76,661,217.50
  5. Step 5: Solve for x
    x = 76,661,217.50/12,430.98
  6. Step 6: Final answer
    x = 6,166.95

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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.