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Finding the Fourth Proportional to 23,838.72, 35,769.70 and 9,802.97

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Solution

The fourth proportional to 23,838.72, 35,769.70 and 9,802.97 is: 14,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.72 : 35,769.70 = 9,802.97 : x
  2. Step 2: Convert to fraction form
    23,838.72/35,769.70 = 9,802.97/x
  3. Step 3: Cross multiply
    23,838.72x = 35,769.70 × 9,802.97
  4. Step 4: Simplify right side
    23,838.72x = 350,649,068.15
  5. Step 5: Solve for x
    x = 350,649,068.15/23,838.72
  6. Step 6: Final answer
    x = 14,709.22

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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.