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Finding the Fourth Proportional to 23,286, 32,133.60 and 12,674.96

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Solution

The fourth proportional to 23,286, 32,133.60 and 12,674.96 is: 17,490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,286 : 32,133.60 = 12,674.96 : x
  2. Step 2: Convert to fraction form
    23,286/32,133.60 = 12,674.96/x
  3. Step 3: Cross multiply
    23,286x = 32,133.60 × 12,674.96
  4. Step 4: Simplify right side
    23,286x = 407,292,094.66
  5. Step 5: Solve for x
    x = 407,292,094.66/23,286
  6. Step 6: Final answer
    x = 17,490.86

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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.