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Finding the Fourth Proportional to 17,109.97, 23,614.14 and 10,038.67

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Solution

The fourth proportional to 17,109.97, 23,614.14 and 10,038.67 is: 13,854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,109.97 : 23,614.14 = 10,038.67 : x
  2. Step 2: Convert to fraction form
    17,109.97/23,614.14 = 10,038.67/x
  3. Step 3: Cross multiply
    17,109.97x = 23,614.14 × 10,038.67
  4. Step 4: Simplify right side
    17,109.97x = 237,054,558.79
  5. Step 5: Solve for x
    x = 237,054,558.79/17,109.97
  6. Step 6: Final answer
    x = 13,854.76

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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.