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Finding the Fourth Proportional to 13,414.08, 18,511.14 and 7,445.40

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Solution

The fourth proportional to 13,414.08, 18,511.14 and 7,445.40 is: 10,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.08 : 18,511.14 = 7,445.40 : x
  2. Step 2: Convert to fraction form
    13,414.08/18,511.14 = 7,445.40/x
  3. Step 3: Cross multiply
    13,414.08x = 18,511.14 × 7,445.40
  4. Step 4: Simplify right side
    13,414.08x = 137,822,841.76
  5. Step 5: Solve for x
    x = 137,822,841.76/13,414.08
  6. Step 6: Final answer
    x = 10,274.49

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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.