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Finding the Fourth Proportional to 23,689.44, 35,550 and 9,838.44

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Solution

The fourth proportional to 23,689.44, 35,550 and 9,838.44 is: 14,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.44 : 35,550 = 9,838.44 : x
  2. Step 2: Convert to fraction form
    23,689.44/35,550 = 9,838.44/x
  3. Step 3: Cross multiply
    23,689.44x = 35,550 × 9,838.44
  4. Step 4: Simplify right side
    23,689.44x = 349,756,542
  5. Step 5: Solve for x
    x = 349,756,542/23,689.44
  6. Step 6: Final answer
    x = 14,764.24

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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.