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Finding the Fourth Proportional to 13,915.58, 19,204.82 and 7,948.14

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Solution

The fourth proportional to 13,915.58, 19,204.82 and 7,948.14 is: 10,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.58 : 19,204.82 = 7,948.14 : x
  2. Step 2: Convert to fraction form
    13,915.58/19,204.82 = 7,948.14/x
  3. Step 3: Cross multiply
    13,915.58x = 19,204.82 × 7,948.14
  4. Step 4: Simplify right side
    13,915.58x = 152,642,598.03
  5. Step 5: Solve for x
    x = 152,642,598.03/13,915.58
  6. Step 6: Final answer
    x = 10,969.19

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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.