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Finding the Fourth Proportional to 23,162.64, 31,967.52 and 13,339.68

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Solution

The fourth proportional to 23,162.64, 31,967.52 and 13,339.68 is: 18,410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,162.64 : 31,967.52 = 13,339.68 : x
  2. Step 2: Convert to fraction form
    23,162.64/31,967.52 = 13,339.68/x
  3. Step 3: Cross multiply
    23,162.64x = 31,967.52 × 13,339.68
  4. Step 4: Simplify right side
    23,162.64x = 426,436,487.19
  5. Step 5: Solve for x
    x = 426,436,487.19/23,162.64
  6. Step 6: Final answer
    x = 18,410.53

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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.