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Finding the Fourth Proportional to 21,503.54, 32,267.74 and 9,022.44

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Solution

The fourth proportional to 21,503.54, 32,267.74 and 9,022.44 is: 13,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,503.54 : 32,267.74 = 9,022.44 : x
  2. Step 2: Convert to fraction form
    21,503.54/32,267.74 = 9,022.44/x
  3. Step 3: Cross multiply
    21,503.54x = 32,267.74 × 9,022.44
  4. Step 4: Simplify right side
    21,503.54x = 291,133,748.09
  5. Step 5: Solve for x
    x = 291,133,748.09/21,503.54
  6. Step 6: Final answer
    x = 13,538.88

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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.