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Finding the Fourth Proportional to 35,409.69, 53,123.79 and 13,223.25

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Solution

The fourth proportional to 35,409.69, 53,123.79 and 13,223.25 is: 19,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,409.69 : 53,123.79 = 13,223.25 : x
  2. Step 2: Convert to fraction form
    35,409.69/53,123.79 = 13,223.25/x
  3. Step 3: Cross multiply
    35,409.69x = 53,123.79 × 13,223.25
  4. Step 4: Simplify right side
    35,409.69x = 702,469,156.12
  5. Step 5: Solve for x
    x = 702,469,156.12/35,409.69
  6. Step 6: Final answer
    x = 19,838.33

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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.