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Finding the Fourth Proportional to 13,532.10, 18,672 and 7,563.81

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Solution

The fourth proportional to 13,532.10, 18,672 and 7,563.81 is: 10,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.10 : 18,672 = 7,563.81 : x
  2. Step 2: Convert to fraction form
    13,532.10/18,672 = 7,563.81/x
  3. Step 3: Cross multiply
    13,532.10x = 18,672 × 7,563.81
  4. Step 4: Simplify right side
    13,532.10x = 141,231,460.32
  5. Step 5: Solve for x
    x = 141,231,460.32/13,532.10
  6. Step 6: Final answer
    x = 10,436.77

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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.