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Finding the Fourth Proportional to 12,544.68, 18,802.26 and 5,145.48

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Solution

The fourth proportional to 12,544.68, 18,802.26 and 5,145.48 is: 7,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544.68 : 18,802.26 = 5,145.48 : x
  2. Step 2: Convert to fraction form
    12,544.68/18,802.26 = 5,145.48/x
  3. Step 3: Cross multiply
    12,544.68x = 18,802.26 × 5,145.48
  4. Step 4: Simplify right side
    12,544.68x = 96,746,652.78
  5. Step 5: Solve for x
    x = 96,746,652.78/12,544.68
  6. Step 6: Final answer
    x = 7,712.17

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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.