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Finding the Fourth Proportional to 21,497.34, 32,243.55 and 5,913.78

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Solution

The fourth proportional to 21,497.34, 32,243.55 and 5,913.78 is: 8,869.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.34 : 32,243.55 = 5,913.78 : x
  2. Step 2: Convert to fraction form
    21,497.34/32,243.55 = 5,913.78/x
  3. Step 3: Cross multiply
    21,497.34x = 32,243.55 × 5,913.78
  4. Step 4: Simplify right side
    21,497.34x = 190,681,261.12
  5. Step 5: Solve for x
    x = 190,681,261.12/21,497.34
  6. Step 6: Final answer
    x = 8,869.99

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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.