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Finding the Fourth Proportional to 13,058.52, 17,990.82 and 10,716

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Solution

The fourth proportional to 13,058.52, 17,990.82 and 10,716 is: 14,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.52 : 17,990.82 = 10,716 : x
  2. Step 2: Convert to fraction form
    13,058.52/17,990.82 = 10,716/x
  3. Step 3: Cross multiply
    13,058.52x = 17,990.82 × 10,716
  4. Step 4: Simplify right side
    13,058.52x = 192,789,627.12
  5. Step 5: Solve for x
    x = 192,789,627.12/13,058.52
  6. Step 6: Final answer
    x = 14,763.51

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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.