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Finding the Fourth Proportional to 21,143.16, 31,712.94 and 8,659.62

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Solution

The fourth proportional to 21,143.16, 31,712.94 and 8,659.62 is: 12,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143.16 : 31,712.94 = 8,659.62 : x
  2. Step 2: Convert to fraction form
    21,143.16/31,712.94 = 8,659.62/x
  3. Step 3: Cross multiply
    21,143.16x = 31,712.94 × 8,659.62
  4. Step 4: Simplify right side
    21,143.16x = 274,622,009.48
  5. Step 5: Solve for x
    x = 274,622,009.48/21,143.16
  6. Step 6: Final answer
    x = 12,988.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.