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Finding the Fourth Proportional to 13,805.58, 19,056 and 7,841.22

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Solution

The fourth proportional to 13,805.58, 19,056 and 7,841.22 is: 10,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.58 : 19,056 = 7,841.22 : x
  2. Step 2: Convert to fraction form
    13,805.58/19,056 = 7,841.22/x
  3. Step 3: Cross multiply
    13,805.58x = 19,056 × 7,841.22
  4. Step 4: Simplify right side
    13,805.58x = 149,422,288.32
  5. Step 5: Solve for x
    x = 149,422,288.32/13,805.58
  6. Step 6: Final answer
    x = 10,823.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.