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Finding the Fourth Proportional to 23,886.34, 35,843.91 and 8,314.90

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Solution

The fourth proportional to 23,886.34, 35,843.91 and 8,314.90 is: 12,477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.34 : 35,843.91 = 8,314.90 : x
  2. Step 2: Convert to fraction form
    23,886.34/35,843.91 = 8,314.90/x
  3. Step 3: Cross multiply
    23,886.34x = 35,843.91 × 8,314.90
  4. Step 4: Simplify right side
    23,886.34x = 298,038,527.26
  5. Step 5: Solve for x
    x = 298,038,527.26/23,886.34
  6. Step 6: Final answer
    x = 12,477.36

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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.