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Finding the Fourth Proportional to 21,678.68, 29,916.42 and 11,742.68

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Solution

The fourth proportional to 21,678.68, 29,916.42 and 11,742.68 is: 16,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.68 : 29,916.42 = 11,742.68 : x
  2. Step 2: Convert to fraction form
    21,678.68/29,916.42 = 11,742.68/x
  3. Step 3: Cross multiply
    21,678.68x = 29,916.42 × 11,742.68
  4. Step 4: Simplify right side
    21,678.68x = 351,298,946.81
  5. Step 5: Solve for x
    x = 351,298,946.81/21,678.68
  6. Step 6: Final answer
    x = 16,204.81

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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.