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Finding the Fourth Proportional to 14,634.53, 20,197.52 and 9,603.01

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Solution

The fourth proportional to 14,634.53, 20,197.52 and 9,603.01 is: 13,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634.53 : 20,197.52 = 9,603.01 : x
  2. Step 2: Convert to fraction form
    14,634.53/20,197.52 = 9,603.01/x
  3. Step 3: Cross multiply
    14,634.53x = 20,197.52 × 9,603.01
  4. Step 4: Simplify right side
    14,634.53x = 193,956,986.54
  5. Step 5: Solve for x
    x = 193,956,986.54/14,634.53
  6. Step 6: Final answer
    x = 13,253.38

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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.