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Finding the Fourth Proportional to 21,975.84, 32,967 and 6,391.44

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Solution

The fourth proportional to 21,975.84, 32,967 and 6,391.44 is: 9,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,975.84 : 32,967 = 6,391.44 : x
  2. Step 2: Convert to fraction form
    21,975.84/32,967 = 6,391.44/x
  3. Step 3: Cross multiply
    21,975.84x = 32,967 × 6,391.44
  4. Step 4: Simplify right side
    21,975.84x = 210,706,602.48
  5. Step 5: Solve for x
    x = 210,706,602.48/21,975.84
  6. Step 6: Final answer
    x = 9,588.10

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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.