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Finding the Fourth Proportional to 19,873.13, 29,809.76 and 6,022.13

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Solution

The fourth proportional to 19,873.13, 29,809.76 and 6,022.13 is: 9,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,873.13 : 29,809.76 = 6,022.13 : x
  2. Step 2: Convert to fraction form
    19,873.13/29,809.76 = 6,022.13/x
  3. Step 3: Cross multiply
    19,873.13x = 29,809.76 × 6,022.13
  4. Step 4: Simplify right side
    19,873.13x = 179,518,070.83
  5. Step 5: Solve for x
    x = 179,518,070.83/19,873.13
  6. Step 6: Final answer
    x = 9,033.21

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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.