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Finding the Fourth Proportional to 16,898.40, 25,347.51 and 5,805

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Solution

The fourth proportional to 16,898.40, 25,347.51 and 5,805 is: 8,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,898.40 : 25,347.51 = 5,805 : x
  2. Step 2: Convert to fraction form
    16,898.40/25,347.51 = 5,805/x
  3. Step 3: Cross multiply
    16,898.40x = 25,347.51 × 5,805
  4. Step 4: Simplify right side
    16,898.40x = 147,142,295.55
  5. Step 5: Solve for x
    x = 147,142,295.55/16,898.40
  6. Step 6: Final answer
    x = 8,707.47

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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.