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Finding the Fourth Proportional to 13,434.68, 18,538.44 and 7,767.92

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Solution

The fourth proportional to 13,434.68, 18,538.44 and 7,767.92 is: 10,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.68 : 18,538.44 = 7,767.92 : x
  2. Step 2: Convert to fraction form
    13,434.68/18,538.44 = 7,767.92/x
  3. Step 3: Cross multiply
    13,434.68x = 18,538.44 × 7,767.92
  4. Step 4: Simplify right side
    13,434.68x = 144,005,118.84
  5. Step 5: Solve for x
    x = 144,005,118.84/13,434.68
  6. Step 6: Final answer
    x = 10,718.91

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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.