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Finding the Fourth Proportional to 21,824.58, 32,738.58 and 7,033.94

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Solution

The fourth proportional to 21,824.58, 32,738.58 and 7,033.94 is: 10,551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.58 : 32,738.58 = 7,033.94 : x
  2. Step 2: Convert to fraction form
    21,824.58/32,738.58 = 7,033.94/x
  3. Step 3: Cross multiply
    21,824.58x = 32,738.58 × 7,033.94
  4. Step 4: Simplify right side
    21,824.58x = 230,281,043.71
  5. Step 5: Solve for x
    x = 230,281,043.71/21,824.58
  6. Step 6: Final answer
    x = 10,551.45

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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.