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Finding the Fourth Proportional to 13,663.48, 18,856.30 and 8,356.63

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Solution

The fourth proportional to 13,663.48, 18,856.30 and 8,356.63 is: 11,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.48 : 18,856.30 = 8,356.63 : x
  2. Step 2: Convert to fraction form
    13,663.48/18,856.30 = 8,356.63/x
  3. Step 3: Cross multiply
    13,663.48x = 18,856.30 × 8,356.63
  4. Step 4: Simplify right side
    13,663.48x = 157,575,027.99
  5. Step 5: Solve for x
    x = 157,575,027.99/13,663.48
  6. Step 6: Final answer
    x = 11,532.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.