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Finding the Fourth Proportional to 19,884.68, 29,827.74 and 6,033.32

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Solution

The fourth proportional to 19,884.68, 29,827.74 and 6,033.32 is: 9,050.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.68 : 29,827.74 = 6,033.32 : x
  2. Step 2: Convert to fraction form
    19,884.68/29,827.74 = 6,033.32/x
  3. Step 3: Cross multiply
    19,884.68x = 29,827.74 × 6,033.32
  4. Step 4: Simplify right side
    19,884.68x = 179,960,300.30
  5. Step 5: Solve for x
    x = 179,960,300.30/19,884.68
  6. Step 6: Final answer
    x = 9,050.20

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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.