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Finding the Fourth Proportional to 13,322.25, 18,384.71 and 7,733.25

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Solution

The fourth proportional to 13,322.25, 18,384.71 and 7,733.25 is: 10,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.25 : 18,384.71 = 7,733.25 : x
  2. Step 2: Convert to fraction form
    13,322.25/18,384.71 = 7,733.25/x
  3. Step 3: Cross multiply
    13,322.25x = 18,384.71 × 7,733.25
  4. Step 4: Simplify right side
    13,322.25x = 142,173,519.94
  5. Step 5: Solve for x
    x = 142,173,519.94/13,322.25
  6. Step 6: Final answer
    x = 10,671.89

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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.