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Finding the Fourth Proportional to 13,142.64, 19,706.73 and 8,987.34

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Solution

The fourth proportional to 13,142.64, 19,706.73 and 8,987.34 is: 13,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.64 : 19,706.73 = 8,987.34 : x
  2. Step 2: Convert to fraction form
    13,142.64/19,706.73 = 8,987.34/x
  3. Step 3: Cross multiply
    13,142.64x = 19,706.73 × 8,987.34
  4. Step 4: Simplify right side
    13,142.64x = 177,111,082.80
  5. Step 5: Solve for x
    x = 177,111,082.80/13,142.64
  6. Step 6: Final answer
    x = 13,476.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.