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Finding the Fourth Proportional to 13,345.78, 18,416.21 and 7,377.56

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Solution

The fourth proportional to 13,345.78, 18,416.21 and 7,377.56 is: 10,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,345.78 : 18,416.21 = 7,377.56 : x
  2. Step 2: Convert to fraction form
    13,345.78/18,416.21 = 7,377.56/x
  3. Step 3: Cross multiply
    13,345.78x = 18,416.21 × 7,377.56
  4. Step 4: Simplify right side
    13,345.78x = 135,866,602.17
  5. Step 5: Solve for x
    x = 135,866,602.17/13,345.78
  6. Step 6: Final answer
    x = 10,180.49

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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.