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Finding the Fourth Proportional to 15,325.71, 22,981.02 and 4,796.82

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Solution

The fourth proportional to 15,325.71, 22,981.02 and 4,796.82 is: 7,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,325.71 : 22,981.02 = 4,796.82 : x
  2. Step 2: Convert to fraction form
    15,325.71/22,981.02 = 4,796.82/x
  3. Step 3: Cross multiply
    15,325.71x = 22,981.02 × 4,796.82
  4. Step 4: Simplify right side
    15,325.71x = 110,235,798.37
  5. Step 5: Solve for x
    x = 110,235,798.37/15,325.71
  6. Step 6: Final answer
    x = 7,192.87

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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.