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Finding the Fourth Proportional to 13,663.10, 18,854.89 and 7,695.36

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Solution

The fourth proportional to 13,663.10, 18,854.89 and 7,695.36 is: 10,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.10 : 18,854.89 = 7,695.36 : x
  2. Step 2: Convert to fraction form
    13,663.10/18,854.89 = 7,695.36/x
  3. Step 3: Cross multiply
    13,663.10x = 18,854.89 × 7,695.36
  4. Step 4: Simplify right side
    13,663.10x = 145,095,166.31
  5. Step 5: Solve for x
    x = 145,095,166.31/13,663.10
  6. Step 6: Final answer
    x = 10,619.49

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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.