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Finding the Fourth Proportional to 15,803.64, 23,711.27 and 7,477.38

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Solution

The fourth proportional to 15,803.64, 23,711.27 and 7,477.38 is: 11,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,803.64 : 23,711.27 = 7,477.38 : x
  2. Step 2: Convert to fraction form
    15,803.64/23,711.27 = 7,477.38/x
  3. Step 3: Cross multiply
    15,803.64x = 23,711.27 × 7,477.38
  4. Step 4: Simplify right side
    15,803.64x = 177,298,138.69
  5. Step 5: Solve for x
    x = 177,298,138.69/15,803.64
  6. Step 6: Final answer
    x = 11,218.82

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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.