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Finding the Fourth Proportional to 12,702.48, 19,055.49 and 5,305.26

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Solution

The fourth proportional to 12,702.48, 19,055.49 and 5,305.26 is: 7,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.48 : 19,055.49 = 5,305.26 : x
  2. Step 2: Convert to fraction form
    12,702.48/19,055.49 = 5,305.26/x
  3. Step 3: Cross multiply
    12,702.48x = 19,055.49 × 5,305.26
  4. Step 4: Simplify right side
    12,702.48x = 101,094,328.88
  5. Step 5: Solve for x
    x = 101,094,328.88/12,702.48
  6. Step 6: Final answer
    x = 7,958.63

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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.