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Finding the Fourth Proportional to 21,968.59, 32,956.19 and 6,384.19

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Solution

The fourth proportional to 21,968.59, 32,956.19 and 6,384.19 is: 9,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,968.59 : 32,956.19 = 6,384.19 : x
  2. Step 2: Convert to fraction form
    21,968.59/32,956.19 = 6,384.19/x
  3. Step 3: Cross multiply
    21,968.59x = 32,956.19 × 6,384.19
  4. Step 4: Simplify right side
    21,968.59x = 210,398,578.64
  5. Step 5: Solve for x
    x = 210,398,578.64/21,968.59
  6. Step 6: Final answer
    x = 9,577.25

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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.