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Finding the Fourth Proportional to 21,594, 32,391 and 6,012.03

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Solution

The fourth proportional to 21,594, 32,391 and 6,012.03 is: 9,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,594 : 32,391 = 6,012.03 : x
  2. Step 2: Convert to fraction form
    21,594/32,391 = 6,012.03/x
  3. Step 3: Cross multiply
    21,594x = 32,391 × 6,012.03
  4. Step 4: Simplify right side
    21,594x = 194,735,663.73
  5. Step 5: Solve for x
    x = 194,735,663.73/21,594
  6. Step 6: Final answer
    x = 9,018.05

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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.