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Finding the Fourth Proportional to 22,623.60, 33,953.78 and 9,485.20

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Solution

The fourth proportional to 22,623.60, 33,953.78 and 9,485.20 is: 14,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,623.60 : 33,953.78 = 9,485.20 : x
  2. Step 2: Convert to fraction form
    22,623.60/33,953.78 = 9,485.20/x
  3. Step 3: Cross multiply
    22,623.60x = 33,953.78 × 9,485.20
  4. Step 4: Simplify right side
    22,623.60x = 322,058,460.21
  5. Step 5: Solve for x
    x = 322,058,460.21/22,623.60
  6. Step 6: Final answer
    x = 14,235.51

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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.