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Finding the Fourth Proportional to 19,784.34, 29,665.71 and 8,087.94

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Solution

The fourth proportional to 19,784.34, 29,665.71 and 8,087.94 is: 12,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.34 : 29,665.71 = 8,087.94 : x
  2. Step 2: Convert to fraction form
    19,784.34/29,665.71 = 8,087.94/x
  3. Step 3: Cross multiply
    19,784.34x = 29,665.71 × 8,087.94
  4. Step 4: Simplify right side
    19,784.34x = 239,934,482.54
  5. Step 5: Solve for x
    x = 239,934,482.54/19,784.34
  6. Step 6: Final answer
    x = 12,127.49

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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.