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Finding the Fourth Proportional to 13,142.70, 19,714.32 and 7,592.04

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Solution

The fourth proportional to 13,142.70, 19,714.32 and 7,592.04 is: 11,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.70 : 19,714.32 = 7,592.04 : x
  2. Step 2: Convert to fraction form
    13,142.70/19,714.32 = 7,592.04/x
  3. Step 3: Cross multiply
    13,142.70x = 19,714.32 × 7,592.04
  4. Step 4: Simplify right side
    13,142.70x = 149,671,906.01
  5. Step 5: Solve for x
    x = 149,671,906.01/13,142.70
  6. Step 6: Final answer
    x = 11,388.22

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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.