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Finding the Fourth Proportional to 13,663.96, 18,856.33 and 7,695.74

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Solution

The fourth proportional to 13,663.96, 18,856.33 and 7,695.74 is: 10,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.96 : 18,856.33 = 7,695.74 : x
  2. Step 2: Convert to fraction form
    13,663.96/18,856.33 = 7,695.74/x
  3. Step 3: Cross multiply
    13,663.96x = 18,856.33 × 7,695.74
  4. Step 4: Simplify right side
    13,663.96x = 145,113,440.94
  5. Step 5: Solve for x
    x = 145,113,440.94/13,663.96
  6. Step 6: Final answer
    x = 10,620.16

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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.