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Finding the Fourth Proportional to 13,570.23, 18,728.07 and 7,601.82

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Solution

The fourth proportional to 13,570.23, 18,728.07 and 7,601.82 is: 10,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.23 : 18,728.07 = 7,601.82 : x
  2. Step 2: Convert to fraction form
    13,570.23/18,728.07 = 7,601.82/x
  3. Step 3: Cross multiply
    13,570.23x = 18,728.07 × 7,601.82
  4. Step 4: Simplify right side
    13,570.23x = 142,367,417.09
  5. Step 5: Solve for x
    x = 142,367,417.09/13,570.23
  6. Step 6: Final answer
    x = 10,491.16

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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.