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Finding the Fourth Proportional to 25,333.74, 38,001.15 and 7,803.54

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Solution

The fourth proportional to 25,333.74, 38,001.15 and 7,803.54 is: 11,705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,333.74 : 38,001.15 = 7,803.54 : x
  2. Step 2: Convert to fraction form
    25,333.74/38,001.15 = 7,803.54/x
  3. Step 3: Cross multiply
    25,333.74x = 38,001.15 × 7,803.54
  4. Step 4: Simplify right side
    25,333.74x = 296,543,494.07
  5. Step 5: Solve for x
    x = 296,543,494.07/25,333.74
  6. Step 6: Final answer
    x = 11,705.48

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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.