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Finding the Fourth Proportional to 19,950.81, 29,944.68 and 10,097.01

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Solution

The fourth proportional to 19,950.81, 29,944.68 and 10,097.01 is: 15,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,950.81 : 29,944.68 = 10,097.01 : x
  2. Step 2: Convert to fraction form
    19,950.81/29,944.68 = 10,097.01/x
  3. Step 3: Cross multiply
    19,950.81x = 29,944.68 × 10,097.01
  4. Step 4: Simplify right side
    19,950.81x = 302,351,733.41
  5. Step 5: Solve for x
    x = 302,351,733.41/19,950.81
  6. Step 6: Final answer
    x = 15,154.86

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Why These Related Problems?

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