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Finding the Fourth Proportional to 13,269.60, 18,312.36 and 7,301.60

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Solution

The fourth proportional to 13,269.60, 18,312.36 and 7,301.60 is: 10,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,269.60 : 18,312.36 = 7,301.60 : x
  2. Step 2: Convert to fraction form
    13,269.60/18,312.36 = 7,301.60/x
  3. Step 3: Cross multiply
    13,269.60x = 18,312.36 × 7,301.60
  4. Step 4: Simplify right side
    13,269.60x = 133,709,527.78
  5. Step 5: Solve for x
    x = 133,709,527.78/13,269.60
  6. Step 6: Final answer
    x = 10,076.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.