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Finding the Fourth Proportional to 15,616, 23,423.40 and 6,850.99

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Solution

The fourth proportional to 15,616, 23,423.40 and 6,850.99 is: 10,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616 : 23,423.40 = 6,850.99 : x
  2. Step 2: Convert to fraction form
    15,616/23,423.40 = 6,850.99/x
  3. Step 3: Cross multiply
    15,616x = 23,423.40 × 6,850.99
  4. Step 4: Simplify right side
    15,616x = 160,473,479.17
  5. Step 5: Solve for x
    x = 160,473,479.17/15,616
  6. Step 6: Final answer
    x = 10,276.22

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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.