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Finding the Fourth Proportional to 22,997.60, 34,493.20 and 7,416.80

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Solution

The fourth proportional to 22,997.60, 34,493.20 and 7,416.80 is: 11,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997.60 : 34,493.20 = 7,416.80 : x
  2. Step 2: Convert to fraction form
    22,997.60/34,493.20 = 7,416.80/x
  3. Step 3: Cross multiply
    22,997.60x = 34,493.20 × 7,416.80
  4. Step 4: Simplify right side
    22,997.60x = 255,829,165.76
  5. Step 5: Solve for x
    x = 255,829,165.76/22,997.60
  6. Step 6: Final answer
    x = 11,124.17

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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.