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Finding the Fourth Proportional to 12,721.83, 19,058.04 and 7,158.21

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Solution

The fourth proportional to 12,721.83, 19,058.04 and 7,158.21 is: 10,723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,721.83 : 19,058.04 = 7,158.21 : x
  2. Step 2: Convert to fraction form
    12,721.83/19,058.04 = 7,158.21/x
  3. Step 3: Cross multiply
    12,721.83x = 19,058.04 × 7,158.21
  4. Step 4: Simplify right side
    12,721.83x = 136,421,452.51
  5. Step 5: Solve for x
    x = 136,421,452.51/12,721.83
  6. Step 6: Final answer
    x = 10,723.41

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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.