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Finding the Fourth Proportional to 13,841.80, 19,126.71 and 9,856

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Solution

The fourth proportional to 13,841.80, 19,126.71 and 9,856 is: 13,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.80 : 19,126.71 = 9,856 : x
  2. Step 2: Convert to fraction form
    13,841.80/19,126.71 = 9,856/x
  3. Step 3: Cross multiply
    13,841.80x = 19,126.71 × 9,856
  4. Step 4: Simplify right side
    13,841.80x = 188,512,853.76
  5. Step 5: Solve for x
    x = 188,512,853.76/13,841.80
  6. Step 6: Final answer
    x = 13,619.10

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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.