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Finding the Fourth Proportional to 23,493, 32,441.40 and 15,124.08

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Solution

The fourth proportional to 23,493, 32,441.40 and 15,124.08 is: 20,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,493 : 32,441.40 = 15,124.08 : x
  2. Step 2: Convert to fraction form
    23,493/32,441.40 = 15,124.08/x
  3. Step 3: Cross multiply
    23,493x = 32,441.40 × 15,124.08
  4. Step 4: Simplify right side
    23,493x = 490,646,328.91
  5. Step 5: Solve for x
    x = 490,646,328.91/23,493
  6. Step 6: Final answer
    x = 20,884.79

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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.