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Finding the Fourth Proportional to 13,954.12, 19,256.47 and 7,987.26

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Solution

The fourth proportional to 13,954.12, 19,256.47 and 7,987.26 is: 11,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.12 : 19,256.47 = 7,987.26 : x
  2. Step 2: Convert to fraction form
    13,954.12/19,256.47 = 7,987.26/x
  3. Step 3: Cross multiply
    13,954.12x = 19,256.47 × 7,987.26
  4. Step 4: Simplify right side
    13,954.12x = 153,806,432.57
  5. Step 5: Solve for x
    x = 153,806,432.57/13,954.12
  6. Step 6: Final answer
    x = 11,022.30

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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.