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Finding the Fourth Proportional to 19,970.49, 29,933.87 and 10,096.19

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Solution

The fourth proportional to 19,970.49, 29,933.87 and 10,096.19 is: 15,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.49 : 29,933.87 = 10,096.19 : x
  2. Step 2: Convert to fraction form
    19,970.49/29,933.87 = 10,096.19/x
  3. Step 3: Cross multiply
    19,970.49x = 29,933.87 × 10,096.19
  4. Step 4: Simplify right side
    19,970.49x = 302,217,838.81
  5. Step 5: Solve for x
    x = 302,217,838.81/19,970.49
  6. Step 6: Final answer
    x = 15,133.22

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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.