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Finding the Fourth Proportional to 21,681.62, 32,497.09 and 9,197.42

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Solution

The fourth proportional to 21,681.62, 32,497.09 and 9,197.42 is: 13,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681.62 : 32,497.09 = 9,197.42 : x
  2. Step 2: Convert to fraction form
    21,681.62/32,497.09 = 9,197.42/x
  3. Step 3: Cross multiply
    21,681.62x = 32,497.09 × 9,197.42
  4. Step 4: Simplify right side
    21,681.62x = 298,889,385.51
  5. Step 5: Solve for x
    x = 298,889,385.51/21,681.62
  6. Step 6: Final answer
    x = 13,785.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.