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Finding the Fourth Proportional to 23,774.90, 35,667.99 and 8,192.06

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Solution

The fourth proportional to 23,774.90, 35,667.99 and 8,192.06 is: 12,290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.90 : 35,667.99 = 8,192.06 : x
  2. Step 2: Convert to fraction form
    23,774.90/35,667.99 = 8,192.06/x
  3. Step 3: Cross multiply
    23,774.90x = 35,667.99 × 8,192.06
  4. Step 4: Simplify right side
    23,774.90x = 292,194,314.16
  5. Step 5: Solve for x
    x = 292,194,314.16/23,774.90
  6. Step 6: Final answer
    x = 12,290.03

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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.