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Finding the Fourth Proportional to 23,987, 33,102.06 and 14,051

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Solution

The fourth proportional to 23,987, 33,102.06 and 14,051 is: 19,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,987 : 33,102.06 = 14,051 : x
  2. Step 2: Convert to fraction form
    23,987/33,102.06 = 14,051/x
  3. Step 3: Cross multiply
    23,987x = 33,102.06 × 14,051
  4. Step 4: Simplify right side
    23,987x = 465,117,045.06
  5. Step 5: Solve for x
    x = 465,117,045.06/23,987
  6. Step 6: Final answer
    x = 19,390.38

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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.