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Finding the Fourth Proportional to 13,058.84, 19,570.91 and 6,824.13

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Solution

The fourth proportional to 13,058.84, 19,570.91 and 6,824.13 is: 10,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.84 : 19,570.91 = 6,824.13 : x
  2. Step 2: Convert to fraction form
    13,058.84/19,570.91 = 6,824.13/x
  3. Step 3: Cross multiply
    13,058.84x = 19,570.91 × 6,824.13
  4. Step 4: Simplify right side
    13,058.84x = 133,554,399.94
  5. Step 5: Solve for x
    x = 133,554,399.94/13,058.84
  6. Step 6: Final answer
    x = 10,227.13

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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.