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Finding the Fourth Proportional to 10,225.98, 15,338.95 and 2,830.42

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Solution

The fourth proportional to 10,225.98, 15,338.95 and 2,830.42 is: 4,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.98 : 15,338.95 = 2,830.42 : x
  2. Step 2: Convert to fraction form
    10,225.98/15,338.95 = 2,830.42/x
  3. Step 3: Cross multiply
    10,225.98x = 15,338.95 × 2,830.42
  4. Step 4: Simplify right side
    10,225.98x = 43,415,670.86
  5. Step 5: Solve for x
    x = 43,415,670.86/10,225.98
  6. Step 6: Final answer
    x = 4,245.62

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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.