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Finding the Fourth Proportional to 13,422.65, 18,530.57 and 10,284.17

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Solution

The fourth proportional to 13,422.65, 18,530.57 and 10,284.17 is: 14,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.65 : 18,530.57 = 10,284.17 : x
  2. Step 2: Convert to fraction form
    13,422.65/18,530.57 = 10,284.17/x
  3. Step 3: Cross multiply
    13,422.65x = 18,530.57 × 10,284.17
  4. Step 4: Simplify right side
    13,422.65x = 190,571,465.13
  5. Step 5: Solve for x
    x = 190,571,465.13/13,422.65
  6. Step 6: Final answer
    x = 14,197.76

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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.