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Finding the Fourth Proportional to 12,642.82, 18,953.93 and 4,740.90

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Solution

The fourth proportional to 12,642.82, 18,953.93 and 4,740.90 is: 7,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.82 : 18,953.93 = 4,740.90 : x
  2. Step 2: Convert to fraction form
    12,642.82/18,953.93 = 4,740.90/x
  3. Step 3: Cross multiply
    12,642.82x = 18,953.93 × 4,740.90
  4. Step 4: Simplify right side
    12,642.82x = 89,858,627.51
  5. Step 5: Solve for x
    x = 89,858,627.51/12,642.82
  6. Step 6: Final answer
    x = 7,107.48

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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.