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Finding the Fourth Proportional to 13,210.76, 18,229.66 and 7,242.32

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Solution

The fourth proportional to 13,210.76, 18,229.66 and 7,242.32 is: 9,993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210.76 : 18,229.66 = 7,242.32 : x
  2. Step 2: Convert to fraction form
    13,210.76/18,229.66 = 7,242.32/x
  3. Step 3: Cross multiply
    13,210.76x = 18,229.66 × 7,242.32
  4. Step 4: Simplify right side
    13,210.76x = 132,025,031.21
  5. Step 5: Solve for x
    x = 132,025,031.21/13,210.76
  6. Step 6: Final answer
    x = 9,993.75

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