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Finding the Fourth Proportional to 12,942.90, 19,403.76 and 4,618.20

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Solution

The fourth proportional to 12,942.90, 19,403.76 and 4,618.20 is: 6,923.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.90 : 19,403.76 = 4,618.20 : x
  2. Step 2: Convert to fraction form
    12,942.90/19,403.76 = 4,618.20/x
  3. Step 3: Cross multiply
    12,942.90x = 19,403.76 × 4,618.20
  4. Step 4: Simplify right side
    12,942.90x = 89,610,444.43
  5. Step 5: Solve for x
    x = 89,610,444.43/12,942.90
  6. Step 6: Final answer
    x = 6,923.52

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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.