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Finding the Fourth Proportional to 19,396.16, 29,102.88 and 10,160

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Solution

The fourth proportional to 19,396.16, 29,102.88 and 10,160 is: 15,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,396.16 : 29,102.88 = 10,160 : x
  2. Step 2: Convert to fraction form
    19,396.16/29,102.88 = 10,160/x
  3. Step 3: Cross multiply
    19,396.16x = 29,102.88 × 10,160
  4. Step 4: Simplify right side
    19,396.16x = 295,685,260.80
  5. Step 5: Solve for x
    x = 295,685,260.80/19,396.16
  6. Step 6: Final answer
    x = 15,244.53

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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.