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Finding the Fourth Proportional to 19,965.02, 29,965.97 and 10,111.21

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Solution

The fourth proportional to 19,965.02, 29,965.97 and 10,111.21 is: 15,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,965.02 : 29,965.97 = 10,111.21 : x
  2. Step 2: Convert to fraction form
    19,965.02/29,965.97 = 10,111.21/x
  3. Step 3: Cross multiply
    19,965.02x = 29,965.97 × 10,111.21
  4. Step 4: Simplify right side
    19,965.02x = 302,992,277.57
  5. Step 5: Solve for x
    x = 302,992,277.57/19,965.02
  6. Step 6: Final answer
    x = 15,176.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.