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Finding the Fourth Proportional to 23,971.74, 35,972.10 and 9,932.10

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Solution

The fourth proportional to 23,971.74, 35,972.10 and 9,932.10 is: 14,904.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,971.74 : 35,972.10 = 9,932.10 : x
  2. Step 2: Convert to fraction form
    23,971.74/35,972.10 = 9,932.10/x
  3. Step 3: Cross multiply
    23,971.74x = 35,972.10 × 9,932.10
  4. Step 4: Simplify right side
    23,971.74x = 357,278,494.41
  5. Step 5: Solve for x
    x = 357,278,494.41/23,971.74
  6. Step 6: Final answer
    x = 14,904.15

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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.