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Finding the Fourth Proportional to 15,880.64, 23,823.23 and 5,204.71

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Solution

The fourth proportional to 15,880.64, 23,823.23 and 5,204.71 is: 7,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880.64 : 23,823.23 = 5,204.71 : x
  2. Step 2: Convert to fraction form
    15,880.64/23,823.23 = 5,204.71/x
  3. Step 3: Cross multiply
    15,880.64x = 23,823.23 × 5,204.71
  4. Step 4: Simplify right side
    15,880.64x = 123,993,007.17
  5. Step 5: Solve for x
    x = 123,993,007.17/15,880.64
  6. Step 6: Final answer
    x = 7,807.81

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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.