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Finding the Fourth Proportional to 23,384.82, 35,079.06 and 7,802.46

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Solution

The fourth proportional to 23,384.82, 35,079.06 and 7,802.46 is: 11,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.82 : 35,079.06 = 7,802.46 : x
  2. Step 2: Convert to fraction form
    23,384.82/35,079.06 = 7,802.46/x
  3. Step 3: Cross multiply
    23,384.82x = 35,079.06 × 7,802.46
  4. Step 4: Simplify right side
    23,384.82x = 273,702,962.49
  5. Step 5: Solve for x
    x = 273,702,962.49/23,384.82
  6. Step 6: Final answer
    x = 11,704.30

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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.