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Finding the Fourth Proportional to 13,442.64, 18,545.86 and 8,135.52

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Solution

The fourth proportional to 13,442.64, 18,545.86 and 8,135.52 is: 11,224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.64 : 18,545.86 = 8,135.52 : x
  2. Step 2: Convert to fraction form
    13,442.64/18,545.86 = 8,135.52/x
  3. Step 3: Cross multiply
    13,442.64x = 18,545.86 × 8,135.52
  4. Step 4: Simplify right side
    13,442.64x = 150,880,214.95
  5. Step 5: Solve for x
    x = 150,880,214.95/13,442.64
  6. Step 6: Final answer
    x = 11,224.00

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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.