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Finding the Fourth Proportional to 23,822.13, 35,733.19 and 9,971.13

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Solution

The fourth proportional to 23,822.13, 35,733.19 and 9,971.13 is: 14,956.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.13 : 35,733.19 = 9,971.13 : x
  2. Step 2: Convert to fraction form
    23,822.13/35,733.19 = 9,971.13/x
  3. Step 3: Cross multiply
    23,822.13x = 35,733.19 × 9,971.13
  4. Step 4: Simplify right side
    23,822.13x = 356,300,079.21
  5. Step 5: Solve for x
    x = 356,300,079.21/23,822.13
  6. Step 6: Final answer
    x = 14,956.69

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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.