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Finding the Fourth Proportional to 12,383.68, 18,575.70 and 4,592.50

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Solution

The fourth proportional to 12,383.68, 18,575.70 and 4,592.50 is: 6,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.68 : 18,575.70 = 4,592.50 : x
  2. Step 2: Convert to fraction form
    12,383.68/18,575.70 = 4,592.50/x
  3. Step 3: Cross multiply
    12,383.68x = 18,575.70 × 4,592.50
  4. Step 4: Simplify right side
    12,383.68x = 85,308,902.25
  5. Step 5: Solve for x
    x = 85,308,902.25/12,383.68
  6. Step 6: Final answer
    x = 6,888.82

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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.