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Finding the Fourth Proportional to 12,600.24, 18,897.12 and 7,652.80

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Solution

The fourth proportional to 12,600.24, 18,897.12 and 7,652.80 is: 11,477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,600.24 : 18,897.12 = 7,652.80 : x
  2. Step 2: Convert to fraction form
    12,600.24/18,897.12 = 7,652.80/x
  3. Step 3: Cross multiply
    12,600.24x = 18,897.12 × 7,652.80
  4. Step 4: Simplify right side
    12,600.24x = 144,615,879.94
  5. Step 5: Solve for x
    x = 144,615,879.94/12,600.24
  6. Step 6: Final answer
    x = 11,477.23

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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.