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Finding the Fourth Proportional to 14,204.15, 19,600.85 and 7,830.41

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Solution

The fourth proportional to 14,204.15, 19,600.85 and 7,830.41 is: 10,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204.15 : 19,600.85 = 7,830.41 : x
  2. Step 2: Convert to fraction form
    14,204.15/19,600.85 = 7,830.41/x
  3. Step 3: Cross multiply
    14,204.15x = 19,600.85 × 7,830.41
  4. Step 4: Simplify right side
    14,204.15x = 153,482,691.85
  5. Step 5: Solve for x
    x = 153,482,691.85/14,204.15
  6. Step 6: Final answer
    x = 10,805.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.