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Finding the Fourth Proportional to 13,722.02, 18,935.33 and 7,754.34

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Solution

The fourth proportional to 13,722.02, 18,935.33 and 7,754.34 is: 10,700.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.02 : 18,935.33 = 7,754.34 : x
  2. Step 2: Convert to fraction form
    13,722.02/18,935.33 = 7,754.34/x
  3. Step 3: Cross multiply
    13,722.02x = 18,935.33 × 7,754.34
  4. Step 4: Simplify right side
    13,722.02x = 146,830,948.06
  5. Step 5: Solve for x
    x = 146,830,948.06/13,722.02
  6. Step 6: Final answer
    x = 10,700.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.