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Finding the Fourth Proportional to 19,854.65, 29,776.01 and 8,004.62

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Solution

The fourth proportional to 19,854.65, 29,776.01 and 8,004.62 is: 12,004.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.65 : 29,776.01 = 8,004.62 : x
  2. Step 2: Convert to fraction form
    19,854.65/29,776.01 = 8,004.62/x
  3. Step 3: Cross multiply
    19,854.65x = 29,776.01 × 8,004.62
  4. Step 4: Simplify right side
    19,854.65x = 238,345,679.58
  5. Step 5: Solve for x
    x = 238,345,679.58/19,854.65
  6. Step 6: Final answer
    x = 12,004.53

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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.