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Finding the Fourth Proportional to 18,214.12, 25,134.34 and 10,255.88

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Solution

The fourth proportional to 18,214.12, 25,134.34 and 10,255.88 is: 14,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.12 : 25,134.34 = 10,255.88 : x
  2. Step 2: Convert to fraction form
    18,214.12/25,134.34 = 10,255.88/x
  3. Step 3: Cross multiply
    18,214.12x = 25,134.34 × 10,255.88
  4. Step 4: Simplify right side
    18,214.12x = 257,774,774.92
  5. Step 5: Solve for x
    x = 257,774,774.92/18,214.12
  6. Step 6: Final answer
    x = 14,152.47

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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.