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Finding the Fourth Proportional to 21,798.08, 32,694 and 7,005.05

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Solution

The fourth proportional to 21,798.08, 32,694 and 7,005.05 is: 10,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,798.08 : 32,694 = 7,005.05 : x
  2. Step 2: Convert to fraction form
    21,798.08/32,694 = 7,005.05/x
  3. Step 3: Cross multiply
    21,798.08x = 32,694 × 7,005.05
  4. Step 4: Simplify right side
    21,798.08x = 229,023,104.70
  5. Step 5: Solve for x
    x = 229,023,104.70/21,798.08
  6. Step 6: Final answer
    x = 10,506.57

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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.