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Finding the Fourth Proportional to 18,313.24, 25,271.84 and 10,355

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Solution

The fourth proportional to 18,313.24, 25,271.84 and 10,355 is: 14,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,313.24 : 25,271.84 = 10,355 : x
  2. Step 2: Convert to fraction form
    18,313.24/25,271.84 = 10,355/x
  3. Step 3: Cross multiply
    18,313.24x = 25,271.84 × 10,355
  4. Step 4: Simplify right side
    18,313.24x = 261,689,903.20
  5. Step 5: Solve for x
    x = 261,689,903.20/18,313.24
  6. Step 6: Final answer
    x = 14,289.66

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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.