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Finding the Fourth Proportional to 12,618.42, 17,420.41 and 7,583.86

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Solution

The fourth proportional to 12,618.42, 17,420.41 and 7,583.86 is: 10,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,618.42 : 17,420.41 = 7,583.86 : x
  2. Step 2: Convert to fraction form
    12,618.42/17,420.41 = 7,583.86/x
  3. Step 3: Cross multiply
    12,618.42x = 17,420.41 × 7,583.86
  4. Step 4: Simplify right side
    12,618.42x = 132,113,950.58
  5. Step 5: Solve for x
    x = 132,113,950.58/12,618.42
  6. Step 6: Final answer
    x = 10,469.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.