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Finding the Fourth Proportional to 27,705.80, 38,232.06 and 16,374.80

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Solution

The fourth proportional to 27,705.80, 38,232.06 and 16,374.80 is: 22,596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.80 : 38,232.06 = 16,374.80 : x
  2. Step 2: Convert to fraction form
    27,705.80/38,232.06 = 16,374.80/x
  3. Step 3: Cross multiply
    27,705.80x = 38,232.06 × 16,374.80
  4. Step 4: Simplify right side
    27,705.80x = 626,042,336.09
  5. Step 5: Solve for x
    x = 626,042,336.09/27,705.80
  6. Step 6: Final answer
    x = 22,596.08

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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.