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Finding the Fourth Proportional to 12,128.95, 16,738.68 and 6,824.16

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Solution

The fourth proportional to 12,128.95, 16,738.68 and 6,824.16 is: 9,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.95 : 16,738.68 = 6,824.16 : x
  2. Step 2: Convert to fraction form
    12,128.95/16,738.68 = 6,824.16/x
  3. Step 3: Cross multiply
    12,128.95x = 16,738.68 × 6,824.16
  4. Step 4: Simplify right side
    12,128.95x = 114,227,456.10
  5. Step 5: Solve for x
    x = 114,227,456.10/12,128.95
  6. Step 6: Final answer
    x = 9,417.75

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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.