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Finding the Fourth Proportional to 21,189.16, 31,794.06 and 8,712.93

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Solution

The fourth proportional to 21,189.16, 31,794.06 and 8,712.93 is: 13,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.16 : 31,794.06 = 8,712.93 : x
  2. Step 2: Convert to fraction form
    21,189.16/31,794.06 = 8,712.93/x
  3. Step 3: Cross multiply
    21,189.16x = 31,794.06 × 8,712.93
  4. Step 4: Simplify right side
    21,189.16x = 277,019,419.20
  5. Step 5: Solve for x
    x = 277,019,419.20/21,189.16
  6. Step 6: Final answer
    x = 13,073.64

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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.