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Finding the Fourth Proportional to 21,987, 30,342.06 and 12,051

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Solution

The fourth proportional to 21,987, 30,342.06 and 12,051 is: 16,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987 : 30,342.06 = 12,051 : x
  2. Step 2: Convert to fraction form
    21,987/30,342.06 = 12,051/x
  3. Step 3: Cross multiply
    21,987x = 30,342.06 × 12,051
  4. Step 4: Simplify right side
    21,987x = 365,652,165.06
  5. Step 5: Solve for x
    x = 365,652,165.06/21,987
  6. Step 6: Final answer
    x = 16,630.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.