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Finding the Fourth Proportional to 22,830.66, 34,213.41 and 10,319.58

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Solution

The fourth proportional to 22,830.66, 34,213.41 and 10,319.58 is: 15,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830.66 : 34,213.41 = 10,319.58 : x
  2. Step 2: Convert to fraction form
    22,830.66/34,213.41 = 10,319.58/x
  3. Step 3: Cross multiply
    22,830.66x = 34,213.41 × 10,319.58
  4. Step 4: Simplify right side
    22,830.66x = 353,068,021.57
  5. Step 5: Solve for x
    x = 353,068,021.57/22,830.66
  6. Step 6: Final answer
    x = 15,464.64

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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.