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Finding the Fourth Proportional to 12,024.96, 16,588.80 and 7,831.68

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Solution

The fourth proportional to 12,024.96, 16,588.80 and 7,831.68 is: 10,804.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.96 : 16,588.80 = 7,831.68 : x
  2. Step 2: Convert to fraction form
    12,024.96/16,588.80 = 7,831.68/x
  3. Step 3: Cross multiply
    12,024.96x = 16,588.80 × 7,831.68
  4. Step 4: Simplify right side
    12,024.96x = 129,918,173.18
  5. Step 5: Solve for x
    x = 129,918,173.18/12,024.96
  6. Step 6: Final answer
    x = 10,804.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.