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Finding the Fourth Proportional to 13,210.95, 18,231 and 7,242.61

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Solution

The fourth proportional to 13,210.95, 18,231 and 7,242.61 is: 9,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210.95 : 18,231 = 7,242.61 : x
  2. Step 2: Convert to fraction form
    13,210.95/18,231 = 7,242.61/x
  3. Step 3: Cross multiply
    13,210.95x = 18,231 × 7,242.61
  4. Step 4: Simplify right side
    13,210.95x = 132,040,022.91
  5. Step 5: Solve for x
    x = 132,040,022.91/13,210.95
  6. Step 6: Final answer
    x = 9,994.74

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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.