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Finding the Fourth Proportional to 19,784.40, 29,665.80 and 8,084.40

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Solution

The fourth proportional to 19,784.40, 29,665.80 and 8,084.40 is: 12,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.40 : 29,665.80 = 8,084.40 : x
  2. Step 2: Convert to fraction form
    19,784.40/29,665.80 = 8,084.40/x
  3. Step 3: Cross multiply
    19,784.40x = 29,665.80 × 8,084.40
  4. Step 4: Simplify right side
    19,784.40x = 239,830,193.52
  5. Step 5: Solve for x
    x = 239,830,193.52/19,784.40
  6. Step 6: Final answer
    x = 12,122.19

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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.