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Finding the Fourth Proportional to 13,915.33, 19,202.10 and 7,946.19

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Solution

The fourth proportional to 13,915.33, 19,202.10 and 7,946.19 is: 10,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.33 : 19,202.10 = 7,946.19 : x
  2. Step 2: Convert to fraction form
    13,915.33/19,202.10 = 7,946.19/x
  3. Step 3: Cross multiply
    13,915.33x = 19,202.10 × 7,946.19
  4. Step 4: Simplify right side
    13,915.33x = 152,583,535.00
  5. Step 5: Solve for x
    x = 152,583,535.00/13,915.33
  6. Step 6: Final answer
    x = 10,965.14

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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.