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Finding the Fourth Proportional to 21,963.90, 32,933.70 and 7,165.20

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Solution

The fourth proportional to 21,963.90, 32,933.70 and 7,165.20 is: 10,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,963.90 : 32,933.70 = 7,165.20 : x
  2. Step 2: Convert to fraction form
    21,963.90/32,933.70 = 7,165.20/x
  3. Step 3: Cross multiply
    21,963.90x = 32,933.70 × 7,165.20
  4. Step 4: Simplify right side
    21,963.90x = 235,976,547.24
  5. Step 5: Solve for x
    x = 235,976,547.24/21,963.90
  6. Step 6: Final answer
    x = 10,743.84

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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.