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Finding the Fourth Proportional to 18,235.74, 25,165.86 and 10,278.24

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Solution

The fourth proportional to 18,235.74, 25,165.86 and 10,278.24 is: 14,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,235.74 : 25,165.86 = 10,278.24 : x
  2. Step 2: Convert to fraction form
    18,235.74/25,165.86 = 10,278.24/x
  3. Step 3: Cross multiply
    18,235.74x = 25,165.86 × 10,278.24
  4. Step 4: Simplify right side
    18,235.74x = 258,660,748.89
  5. Step 5: Solve for x
    x = 258,660,748.89/18,235.74
  6. Step 6: Final answer
    x = 14,184.27

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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.