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Finding the Fourth Proportional to 12,151.44, 18,228.99 and 3,830.58

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Solution

The fourth proportional to 12,151.44, 18,228.99 and 3,830.58 is: 5,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.44 : 18,228.99 = 3,830.58 : x
  2. Step 2: Convert to fraction form
    12,151.44/18,228.99 = 3,830.58/x
  3. Step 3: Cross multiply
    12,151.44x = 18,228.99 × 3,830.58
  4. Step 4: Simplify right side
    12,151.44x = 69,827,604.51
  5. Step 5: Solve for x
    x = 69,827,604.51/12,151.44
  6. Step 6: Final answer
    x = 5,746.45

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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.