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Finding the Fourth Proportional to 23,496.42, 32,426.78 and 13,424.64

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Solution

The fourth proportional to 23,496.42, 32,426.78 and 13,424.64 is: 18,526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496.42 : 32,426.78 = 13,424.64 : x
  2. Step 2: Convert to fraction form
    23,496.42/32,426.78 = 13,424.64/x
  3. Step 3: Cross multiply
    23,496.42x = 32,426.78 × 13,424.64
  4. Step 4: Simplify right side
    23,496.42x = 435,317,780.74
  5. Step 5: Solve for x
    x = 435,317,780.74/23,496.42
  6. Step 6: Final answer
    x = 18,526.99

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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.