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Finding the Fourth Proportional to 18,570.66, 27,829.80 and 10,254.42

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Solution

The fourth proportional to 18,570.66, 27,829.80 and 10,254.42 is: 15,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,570.66 : 27,829.80 = 10,254.42 : x
  2. Step 2: Convert to fraction form
    18,570.66/27,829.80 = 10,254.42/x
  3. Step 3: Cross multiply
    18,570.66x = 27,829.80 × 10,254.42
  4. Step 4: Simplify right side
    18,570.66x = 285,378,457.72
  5. Step 5: Solve for x
    x = 285,378,457.72/18,570.66
  6. Step 6: Final answer
    x = 15,367.17

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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.