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Finding the Fourth Proportional to 19,466.50, 29,218.20 and 12,048.52

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Solution

The fourth proportional to 19,466.50, 29,218.20 and 12,048.52 is: 18,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,466.50 : 29,218.20 = 12,048.52 : x
  2. Step 2: Convert to fraction form
    19,466.50/29,218.20 = 12,048.52/x
  3. Step 3: Cross multiply
    19,466.50x = 29,218.20 × 12,048.52
  4. Step 4: Simplify right side
    19,466.50x = 352,036,067.06
  5. Step 5: Solve for x
    x = 352,036,067.06/19,466.50
  6. Step 6: Final answer
    x = 18,084.20

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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.