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Finding the Fourth Proportional to 12,117.84, 16,722.51 and 6,812.69

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Solution

The fourth proportional to 12,117.84, 16,722.51 and 6,812.69 is: 9,401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.84 : 16,722.51 = 6,812.69 : x
  2. Step 2: Convert to fraction form
    12,117.84/16,722.51 = 6,812.69/x
  3. Step 3: Cross multiply
    12,117.84x = 16,722.51 × 6,812.69
  4. Step 4: Simplify right side
    12,117.84x = 113,925,193.04
  5. Step 5: Solve for x
    x = 113,925,193.04/12,117.84
  6. Step 6: Final answer
    x = 9,401.44

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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.