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Finding the Fourth Proportional to 13,987.72, 21,058.14 and 12,763

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Solution

The fourth proportional to 13,987.72, 21,058.14 and 12,763 is: 19,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987.72 : 21,058.14 = 12,763 : x
  2. Step 2: Convert to fraction form
    13,987.72/21,058.14 = 12,763/x
  3. Step 3: Cross multiply
    13,987.72x = 21,058.14 × 12,763
  4. Step 4: Simplify right side
    13,987.72x = 268,765,040.82
  5. Step 5: Solve for x
    x = 268,765,040.82/13,987.72
  6. Step 6: Final answer
    x = 19,214.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.