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Finding the Fourth Proportional to 13,602.57, 20,409.71 and 7,033.37

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Solution

The fourth proportional to 13,602.57, 20,409.71 and 7,033.37 is: 10,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.57 : 20,409.71 = 7,033.37 : x
  2. Step 2: Convert to fraction form
    13,602.57/20,409.71 = 7,033.37/x
  3. Step 3: Cross multiply
    13,602.57x = 20,409.71 × 7,033.37
  4. Step 4: Simplify right side
    13,602.57x = 143,548,904.81
  5. Step 5: Solve for x
    x = 143,548,904.81/13,602.57
  6. Step 6: Final answer
    x = 10,553.08

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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.