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Finding the Fourth Proportional to 19,974.16, 29,966.04 and 10,113.16

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Solution

The fourth proportional to 19,974.16, 29,966.04 and 10,113.16 is: 15,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974.16 : 29,966.04 = 10,113.16 : x
  2. Step 2: Convert to fraction form
    19,974.16/29,966.04 = 10,113.16/x
  3. Step 3: Cross multiply
    19,974.16x = 29,966.04 × 10,113.16
  4. Step 4: Simplify right side
    19,974.16x = 303,051,357.09
  5. Step 5: Solve for x
    x = 303,051,357.09/19,974.16
  6. Step 6: Final answer
    x = 15,172.17

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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.