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Finding the Fourth Proportional to 12,960.41, 19,434.15 and 5,058.20

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Solution

The fourth proportional to 12,960.41, 19,434.15 and 5,058.20 is: 7,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.41 : 19,434.15 = 5,058.20 : x
  2. Step 2: Convert to fraction form
    12,960.41/19,434.15 = 5,058.20/x
  3. Step 3: Cross multiply
    12,960.41x = 19,434.15 × 5,058.20
  4. Step 4: Simplify right side
    12,960.41x = 98,301,720.36
  5. Step 5: Solve for x
    x = 98,301,720.36/12,960.41
  6. Step 6: Final answer
    x = 7,584.77

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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.