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Finding the Fourth Proportional to 22,838.40, 34,257.60 and 14,965.20

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Solution

The fourth proportional to 22,838.40, 34,257.60 and 14,965.20 is: 22,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.40 : 34,257.60 = 14,965.20 : x
  2. Step 2: Convert to fraction form
    22,838.40/34,257.60 = 14,965.20/x
  3. Step 3: Cross multiply
    22,838.40x = 34,257.60 × 14,965.20
  4. Step 4: Simplify right side
    22,838.40x = 512,671,835.52
  5. Step 5: Solve for x
    x = 512,671,835.52/22,838.40
  6. Step 6: Final answer
    x = 22,447.80

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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.