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Finding the Fourth Proportional to 30,417.06, 41,974.02 and 17,841

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Solution

The fourth proportional to 30,417.06, 41,974.02 and 17,841 is: 24,619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,417.06 : 41,974.02 = 17,841 : x
  2. Step 2: Convert to fraction form
    30,417.06/41,974.02 = 17,841/x
  3. Step 3: Cross multiply
    30,417.06x = 41,974.02 × 17,841
  4. Step 4: Simplify right side
    30,417.06x = 748,858,490.82
  5. Step 5: Solve for x
    x = 748,858,490.82/30,417.06
  6. Step 6: Final answer
    x = 24,619.69

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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.