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Finding the Fourth Proportional to 13,534.16, 18,673.02 and 7,867.80

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Solution

The fourth proportional to 13,534.16, 18,673.02 and 7,867.80 is: 10,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.16 : 18,673.02 = 7,867.80 : x
  2. Step 2: Convert to fraction form
    13,534.16/18,673.02 = 7,867.80/x
  3. Step 3: Cross multiply
    13,534.16x = 18,673.02 × 7,867.80
  4. Step 4: Simplify right side
    13,534.16x = 146,915,586.76
  5. Step 5: Solve for x
    x = 146,915,586.76/13,534.16
  6. Step 6: Final answer
    x = 10,855.17

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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.