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Finding the Fourth Proportional to 21,843, 30,146.85 and 12,417.30

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Solution

The fourth proportional to 21,843, 30,146.85 and 12,417.30 is: 17,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843 : 30,146.85 = 12,417.30 : x
  2. Step 2: Convert to fraction form
    21,843/30,146.85 = 12,417.30/x
  3. Step 3: Cross multiply
    21,843x = 30,146.85 × 12,417.30
  4. Step 4: Simplify right side
    21,843x = 374,342,480.51
  5. Step 5: Solve for x
    x = 374,342,480.51/21,843
  6. Step 6: Final answer
    x = 17,137.87

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