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Finding the Fourth Proportional to 21,967.28, 32,959.32 and 8,823.40

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Solution

The fourth proportional to 21,967.28, 32,959.32 and 8,823.40 is: 13,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.28 : 32,959.32 = 8,823.40 : x
  2. Step 2: Convert to fraction form
    21,967.28/32,959.32 = 8,823.40/x
  3. Step 3: Cross multiply
    21,967.28x = 32,959.32 × 8,823.40
  4. Step 4: Simplify right side
    21,967.28x = 290,813,264.09
  5. Step 5: Solve for x
    x = 290,813,264.09/21,967.28
  6. Step 6: Final answer
    x = 13,238.47

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1.5x scale

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.