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Finding the Fourth Proportional to 12,129.43, 16,738.58 and 6,824.25

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Solution

The fourth proportional to 12,129.43, 16,738.58 and 6,824.25 is: 9,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.43 : 16,738.58 = 6,824.25 : x
  2. Step 2: Convert to fraction form
    12,129.43/16,738.58 = 6,824.25/x
  3. Step 3: Cross multiply
    12,129.43x = 16,738.58 × 6,824.25
  4. Step 4: Simplify right side
    12,129.43x = 114,228,254.57
  5. Step 5: Solve for x
    x = 114,228,254.57/12,129.43
  6. Step 6: Final answer
    x = 9,417.45

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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.