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Finding the Fourth Proportional to 25,496.37, 38,189.10 and 12,321

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Solution

The fourth proportional to 25,496.37, 38,189.10 and 12,321 is: 18,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,496.37 : 38,189.10 = 12,321 : x
  2. Step 2: Convert to fraction form
    25,496.37/38,189.10 = 12,321/x
  3. Step 3: Cross multiply
    25,496.37x = 38,189.10 × 12,321
  4. Step 4: Simplify right side
    25,496.37x = 470,527,901.10
  5. Step 5: Solve for x
    x = 470,527,901.10/25,496.37
  6. Step 6: Final answer
    x = 18,454.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.