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Finding the Fourth Proportional to 12,658.37, 18,987.54 and 5,636.57

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Solution

The fourth proportional to 12,658.37, 18,987.54 and 5,636.57 is: 8,454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.37 : 18,987.54 = 5,636.57 : x
  2. Step 2: Convert to fraction form
    12,658.37/18,987.54 = 5,636.57/x
  3. Step 3: Cross multiply
    12,658.37x = 18,987.54 × 5,636.57
  4. Step 4: Simplify right side
    12,658.37x = 107,024,503.40
  5. Step 5: Solve for x
    x = 107,024,503.40/12,658.37
  6. Step 6: Final answer
    x = 8,454.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.