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Finding the Fourth Proportional to 21,599, 32,398.50 and 6,017.04

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Solution

The fourth proportional to 21,599, 32,398.50 and 6,017.04 is: 9,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,599 : 32,398.50 = 6,017.04 : x
  2. Step 2: Convert to fraction form
    21,599/32,398.50 = 6,017.04/x
  3. Step 3: Cross multiply
    21,599x = 32,398.50 × 6,017.04
  4. Step 4: Simplify right side
    21,599x = 194,943,070.44
  5. Step 5: Solve for x
    x = 194,943,070.44/21,599
  6. Step 6: Final answer
    x = 9,025.56

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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.