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Finding the Fourth Proportional to 19,709.34, 29,512.26 and 15,742.32

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Solution

The fourth proportional to 19,709.34, 29,512.26 and 15,742.32 is: 23,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.34 : 29,512.26 = 15,742.32 : x
  2. Step 2: Convert to fraction form
    19,709.34/29,512.26 = 15,742.32/x
  3. Step 3: Cross multiply
    19,709.34x = 29,512.26 × 15,742.32
  4. Step 4: Simplify right side
    19,709.34x = 464,591,440.84
  5. Step 5: Solve for x
    x = 464,591,440.84/19,709.34
  6. Step 6: Final answer
    x = 23,572.15

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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.