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Finding the Fourth Proportional to 22,819.32, 34,233.84 and 9,671.40

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Solution

The fourth proportional to 22,819.32, 34,233.84 and 9,671.40 is: 14,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,819.32 : 34,233.84 = 9,671.40 : x
  2. Step 2: Convert to fraction form
    22,819.32/34,233.84 = 9,671.40/x
  3. Step 3: Cross multiply
    22,819.32x = 34,233.84 × 9,671.40
  4. Step 4: Simplify right side
    22,819.32x = 331,089,160.18
  5. Step 5: Solve for x
    x = 331,089,160.18/22,819.32
  6. Step 6: Final answer
    x = 14,509.16

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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.