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Finding the Fourth Proportional to 10,336.81, 15,505.23 and 2,545.63

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Solution

The fourth proportional to 10,336.81, 15,505.23 and 2,545.63 is: 3,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,336.81 : 15,505.23 = 2,545.63 : x
  2. Step 2: Convert to fraction form
    10,336.81/15,505.23 = 2,545.63/x
  3. Step 3: Cross multiply
    10,336.81x = 15,505.23 × 2,545.63
  4. Step 4: Simplify right side
    10,336.81x = 39,470,578.64
  5. Step 5: Solve for x
    x = 39,470,578.64/10,336.81
  6. Step 6: Final answer
    x = 3,818.45

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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.