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Finding the Fourth Proportional to 13,052.56, 19,595.04 and 9,542.56

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Solution

The fourth proportional to 13,052.56, 19,595.04 and 9,542.56 is: 14,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.56 : 19,595.04 = 9,542.56 : x
  2. Step 2: Convert to fraction form
    13,052.56/19,595.04 = 9,542.56/x
  3. Step 3: Cross multiply
    13,052.56x = 19,595.04 × 9,542.56
  4. Step 4: Simplify right side
    13,052.56x = 186,986,844.90
  5. Step 5: Solve for x
    x = 186,986,844.90/13,052.56
  6. Step 6: Final answer
    x = 14,325.68

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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.