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Finding the Fourth Proportional to 22,754.60, 31,420.50 and 16,055.08

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Solution

The fourth proportional to 22,754.60, 31,420.50 and 16,055.08 is: 22,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754.60 : 31,420.50 = 16,055.08 : x
  2. Step 2: Convert to fraction form
    22,754.60/31,420.50 = 16,055.08/x
  3. Step 3: Cross multiply
    22,754.60x = 31,420.50 × 16,055.08
  4. Step 4: Simplify right side
    22,754.60x = 504,458,641.14
  5. Step 5: Solve for x
    x = 504,458,641.14/22,754.60
  6. Step 6: Final answer
    x = 22,169.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.