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Finding the Fourth Proportional to 12,596.61, 18,894.93 and 5,663.01

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Solution

The fourth proportional to 12,596.61, 18,894.93 and 5,663.01 is: 8,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.61 : 18,894.93 = 5,663.01 : x
  2. Step 2: Convert to fraction form
    12,596.61/18,894.93 = 5,663.01/x
  3. Step 3: Cross multiply
    12,596.61x = 18,894.93 × 5,663.01
  4. Step 4: Simplify right side
    12,596.61x = 107,002,177.54
  5. Step 5: Solve for x
    x = 107,002,177.54/12,596.61
  6. Step 6: Final answer
    x = 8,494.52

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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.