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Finding the Fourth Proportional to 13,357.36, 18,434.32 and 7,768

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Solution

The fourth proportional to 13,357.36, 18,434.32 and 7,768 is: 10,720.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.36 : 18,434.32 = 7,768 : x
  2. Step 2: Convert to fraction form
    13,357.36/18,434.32 = 7,768/x
  3. Step 3: Cross multiply
    13,357.36x = 18,434.32 × 7,768
  4. Step 4: Simplify right side
    13,357.36x = 143,197,797.76
  5. Step 5: Solve for x
    x = 143,197,797.76/13,357.36
  6. Step 6: Final answer
    x = 10,720.52

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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.