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Finding the Fourth Proportional to 13,744.66, 18,966.02 and 7,695.23

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Solution

The fourth proportional to 13,744.66, 18,966.02 and 7,695.23 is: 10,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.66 : 18,966.02 = 7,695.23 : x
  2. Step 2: Convert to fraction form
    13,744.66/18,966.02 = 7,695.23/x
  3. Step 3: Cross multiply
    13,744.66x = 18,966.02 × 7,695.23
  4. Step 4: Simplify right side
    13,744.66x = 145,947,886.08
  5. Step 5: Solve for x
    x = 145,947,886.08/13,744.66
  6. Step 6: Final answer
    x = 10,618.52

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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.