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Finding the Fourth Proportional to 13,047.66, 19,569.06 and 6,027.39

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Solution

The fourth proportional to 13,047.66, 19,569.06 and 6,027.39 is: 9,039.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.66 : 19,569.06 = 6,027.39 : x
  2. Step 2: Convert to fraction form
    13,047.66/19,569.06 = 6,027.39/x
  3. Step 3: Cross multiply
    13,047.66x = 19,569.06 × 6,027.39
  4. Step 4: Simplify right side
    13,047.66x = 117,950,356.55
  5. Step 5: Solve for x
    x = 117,950,356.55/13,047.66
  6. Step 6: Final answer
    x = 9,039.96

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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.