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Finding the Fourth Proportional to 22,907.49, 31,611.93 and 12,835.90

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Solution

The fourth proportional to 22,907.49, 31,611.93 and 12,835.90 is: 17,713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,907.49 : 31,611.93 = 12,835.90 : x
  2. Step 2: Convert to fraction form
    22,907.49/31,611.93 = 12,835.90/x
  3. Step 3: Cross multiply
    22,907.49x = 31,611.93 × 12,835.90
  4. Step 4: Simplify right side
    22,907.49x = 405,767,572.29
  5. Step 5: Solve for x
    x = 405,767,572.29/22,907.49
  6. Step 6: Final answer
    x = 17,713.31

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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.