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Finding the Fourth Proportional to 23,844.72, 35,754.72 and 9,802.20

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Solution

The fourth proportional to 23,844.72, 35,754.72 and 9,802.20 is: 14,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844.72 : 35,754.72 = 9,802.20 : x
  2. Step 2: Convert to fraction form
    23,844.72/35,754.72 = 9,802.20/x
  3. Step 3: Cross multiply
    23,844.72x = 35,754.72 × 9,802.20
  4. Step 4: Simplify right side
    23,844.72x = 350,474,916.38
  5. Step 5: Solve for x
    x = 350,474,916.38/23,844.72
  6. Step 6: Final answer
    x = 14,698.22

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1.5x scale

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.