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Finding the Fourth Proportional to 15,803.82, 23,697.78 and 5,270.10

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Solution

The fourth proportional to 15,803.82, 23,697.78 and 5,270.10 is: 7,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,803.82 : 23,697.78 = 5,270.10 : x
  2. Step 2: Convert to fraction form
    15,803.82/23,697.78 = 5,270.10/x
  3. Step 3: Cross multiply
    15,803.82x = 23,697.78 × 5,270.10
  4. Step 4: Simplify right side
    15,803.82x = 124,889,670.38
  5. Step 5: Solve for x
    x = 124,889,670.38/15,803.82
  6. Step 6: Final answer
    x = 7,902.50

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Why These Related Problems?

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