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Finding the Fourth Proportional to 13,284.87, 18,332.39 and 7,315.41

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Solution

The fourth proportional to 13,284.87, 18,332.39 and 7,315.41 is: 10,094.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.87 : 18,332.39 = 7,315.41 : x
  2. Step 2: Convert to fraction form
    13,284.87/18,332.39 = 7,315.41/x
  3. Step 3: Cross multiply
    13,284.87x = 18,332.39 × 7,315.41
  4. Step 4: Simplify right side
    13,284.87x = 134,108,949.13
  5. Step 5: Solve for x
    x = 134,108,949.13/13,284.87
  6. Step 6: Final answer
    x = 10,094.86

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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.