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Finding the Fourth Proportional to 18,023.21, 24,875.25 and 10,471.93

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Solution

The fourth proportional to 18,023.21, 24,875.25 and 10,471.93 is: 14,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,023.21 : 24,875.25 = 10,471.93 : x
  2. Step 2: Convert to fraction form
    18,023.21/24,875.25 = 10,471.93/x
  3. Step 3: Cross multiply
    18,023.21x = 24,875.25 × 10,471.93
  4. Step 4: Simplify right side
    18,023.21x = 260,491,974.10
  5. Step 5: Solve for x
    x = 260,491,974.10/18,023.21
  6. Step 6: Final answer
    x = 14,453.14

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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.