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Finding the Fourth Proportional to 13,027.50, 19,551.50 and 6,702.12

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Solution

The fourth proportional to 13,027.50, 19,551.50 and 6,702.12 is: 10,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.50 : 19,551.50 = 6,702.12 : x
  2. Step 2: Convert to fraction form
    13,027.50/19,551.50 = 6,702.12/x
  3. Step 3: Cross multiply
    13,027.50x = 19,551.50 × 6,702.12
  4. Step 4: Simplify right side
    13,027.50x = 131,036,499.18
  5. Step 5: Solve for x
    x = 131,036,499.18/13,027.50
  6. Step 6: Final answer
    x = 10,058.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.