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Finding the Fourth Proportional to 17,677.47, 26,463.59 and 11,419.23

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Solution

The fourth proportional to 17,677.47, 26,463.59 and 11,419.23 is: 17,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.47 : 26,463.59 = 11,419.23 : x
  2. Step 2: Convert to fraction form
    17,677.47/26,463.59 = 11,419.23/x
  3. Step 3: Cross multiply
    17,677.47x = 26,463.59 × 11,419.23
  4. Step 4: Simplify right side
    17,677.47x = 302,193,763.74
  5. Step 5: Solve for x
    x = 302,193,763.74/17,677.47
  6. Step 6: Final answer
    x = 17,094.85

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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.