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Finding the Fourth Proportional to 13,058.68, 19,588.34 and 4,293.24

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Solution

The fourth proportional to 13,058.68, 19,588.34 and 4,293.24 is: 6,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.68 : 19,588.34 = 4,293.24 : x
  2. Step 2: Convert to fraction form
    13,058.68/19,588.34 = 4,293.24/x
  3. Step 3: Cross multiply
    13,058.68x = 19,588.34 × 4,293.24
  4. Step 4: Simplify right side
    13,058.68x = 84,097,444.82
  5. Step 5: Solve for x
    x = 84,097,444.82/13,058.68
  6. Step 6: Final answer
    x = 6,439.97

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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.