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Finding the Fourth Proportional to 25,335.32, 38,000.10 and 7,803.68

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Solution

The fourth proportional to 25,335.32, 38,000.10 and 7,803.68 is: 11,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,335.32 : 38,000.10 = 7,803.68 : x
  2. Step 2: Convert to fraction form
    25,335.32/38,000.10 = 7,803.68/x
  3. Step 3: Cross multiply
    25,335.32x = 38,000.10 × 7,803.68
  4. Step 4: Simplify right side
    25,335.32x = 296,540,620.37
  5. Step 5: Solve for x
    x = 296,540,620.37/25,335.32
  6. Step 6: Final answer
    x = 11,704.63

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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.