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Finding the Fourth Proportional to 13,784.44, 20,658.14 and 7,535.08

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Solution

The fourth proportional to 13,784.44, 20,658.14 and 7,535.08 is: 11,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.44 : 20,658.14 = 7,535.08 : x
  2. Step 2: Convert to fraction form
    13,784.44/20,658.14 = 7,535.08/x
  3. Step 3: Cross multiply
    13,784.44x = 20,658.14 × 7,535.08
  4. Step 4: Simplify right side
    13,784.44x = 155,660,737.55
  5. Step 5: Solve for x
    x = 155,660,737.55/13,784.44
  6. Step 6: Final answer
    x = 11,292.50

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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.