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Finding the Fourth Proportional to 13,915.80, 19,203.96 and 7,948.26

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Solution

The fourth proportional to 13,915.80, 19,203.96 and 7,948.26 is: 10,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.80 : 19,203.96 = 7,948.26 : x
  2. Step 2: Convert to fraction form
    13,915.80/19,203.96 = 7,948.26/x
  3. Step 3: Cross multiply
    13,915.80x = 19,203.96 × 7,948.26
  4. Step 4: Simplify right side
    13,915.80x = 152,638,067.11
  5. Step 5: Solve for x
    x = 152,638,067.11/13,915.80
  6. Step 6: Final answer
    x = 10,968.69

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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.