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Finding the Fourth Proportional to 11,820.27, 17,643.90 and 10,419.08

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Solution

The fourth proportional to 11,820.27, 17,643.90 and 10,419.08 is: 15,552.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.27 : 17,643.90 = 10,419.08 : x
  2. Step 2: Convert to fraction form
    11,820.27/17,643.90 = 10,419.08/x
  3. Step 3: Cross multiply
    11,820.27x = 17,643.90 × 10,419.08
  4. Step 4: Simplify right side
    11,820.27x = 183,833,117.39
  5. Step 5: Solve for x
    x = 183,833,117.39/11,820.27
  6. Step 6: Final answer
    x = 15,552.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.