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Finding the Fourth Proportional to 21,987, 32,980.50 and 9,675

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Solution

The fourth proportional to 21,987, 32,980.50 and 9,675 is: 14,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987 : 32,980.50 = 9,675 : x
  2. Step 2: Convert to fraction form
    21,987/32,980.50 = 9,675/x
  3. Step 3: Cross multiply
    21,987x = 32,980.50 × 9,675
  4. Step 4: Simplify right side
    21,987x = 319,086,337.50
  5. Step 5: Solve for x
    x = 319,086,337.50/21,987
  6. Step 6: Final answer
    x = 14,512.50

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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.