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Finding the Fourth Proportional to 23,494.74, 32,422.64 and 12,884.37

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Solution

The fourth proportional to 23,494.74, 32,422.64 and 12,884.37 is: 17,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494.74 : 32,422.64 = 12,884.37 : x
  2. Step 2: Convert to fraction form
    23,494.74/32,422.64 = 12,884.37/x
  3. Step 3: Cross multiply
    23,494.74x = 32,422.64 × 12,884.37
  4. Step 4: Simplify right side
    23,494.74x = 417,745,225.71
  5. Step 5: Solve for x
    x = 417,745,225.71/23,494.74
  6. Step 6: Final answer
    x = 17,780.37

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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.