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Finding the Fourth Proportional to 19,836.40, 29,713.14 and 11,913.76

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Solution

The fourth proportional to 19,836.40, 29,713.14 and 11,913.76 is: 17,845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,836.40 : 29,713.14 = 11,913.76 : x
  2. Step 2: Convert to fraction form
    19,836.40/29,713.14 = 11,913.76/x
  3. Step 3: Cross multiply
    19,836.40x = 29,713.14 × 11,913.76
  4. Step 4: Simplify right side
    19,836.40x = 353,995,218.81
  5. Step 5: Solve for x
    x = 353,995,218.81/19,836.40
  6. Step 6: Final answer
    x = 17,845.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.