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Finding the Fourth Proportional to 10,496.68, 15,668.22 and 9,251.16

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Solution

The fourth proportional to 10,496.68, 15,668.22 and 9,251.16 is: 13,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.68 : 15,668.22 = 9,251.16 : x
  2. Step 2: Convert to fraction form
    10,496.68/15,668.22 = 9,251.16/x
  3. Step 3: Cross multiply
    10,496.68x = 15,668.22 × 9,251.16
  4. Step 4: Simplify right side
    10,496.68x = 144,949,108.67
  5. Step 5: Solve for x
    x = 144,949,108.67/10,496.68
  6. Step 6: Final answer
    x = 13,809.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.