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Finding the Fourth Proportional to 13,809.94, 19,058.22 and 7,841.45

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Solution

The fourth proportional to 13,809.94, 19,058.22 and 7,841.45 is: 10,821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.94 : 19,058.22 = 7,841.45 : x
  2. Step 2: Convert to fraction form
    13,809.94/19,058.22 = 7,841.45/x
  3. Step 3: Cross multiply
    13,809.94x = 19,058.22 × 7,841.45
  4. Step 4: Simplify right side
    13,809.94x = 149,444,079.22
  5. Step 5: Solve for x
    x = 149,444,079.22/13,809.94
  6. Step 6: Final answer
    x = 10,821.49

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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.