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Finding the Fourth Proportional to 13,174.38, 19,838.88 and 9,502.02

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Solution

The fourth proportional to 13,174.38, 19,838.88 and 9,502.02 is: 14,308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.38 : 19,838.88 = 9,502.02 : x
  2. Step 2: Convert to fraction form
    13,174.38/19,838.88 = 9,502.02/x
  3. Step 3: Cross multiply
    13,174.38x = 19,838.88 × 9,502.02
  4. Step 4: Simplify right side
    13,174.38x = 188,509,434.54
  5. Step 5: Solve for x
    x = 188,509,434.54/13,174.38
  6. Step 6: Final answer
    x = 14,308.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.