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Finding the Fourth Proportional to 16,959, 25,442.82 and 6,433.32

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Solution

The fourth proportional to 16,959, 25,442.82 and 6,433.32 is: 9,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,959 : 25,442.82 = 6,433.32 : x
  2. Step 2: Convert to fraction form
    16,959/25,442.82 = 6,433.32/x
  3. Step 3: Cross multiply
    16,959x = 25,442.82 × 6,433.32
  4. Step 4: Simplify right side
    16,959x = 163,681,802.76
  5. Step 5: Solve for x
    x = 163,681,802.76/16,959
  6. Step 6: Final answer
    x = 9,651.62

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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.