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Finding the Fourth Proportional to 21,678.84, 29,916.66 and 11,742.84

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Solution

The fourth proportional to 21,678.84, 29,916.66 and 11,742.84 is: 16,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.84 : 29,916.66 = 11,742.84 : x
  2. Step 2: Convert to fraction form
    21,678.84/29,916.66 = 11,742.84/x
  3. Step 3: Cross multiply
    21,678.84x = 29,916.66 × 11,742.84
  4. Step 4: Simplify right side
    21,678.84x = 351,306,551.71
  5. Step 5: Solve for x
    x = 351,306,551.71/21,678.84
  6. Step 6: Final answer
    x = 16,205.04

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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.