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Finding the Fourth Proportional to 19,811.82, 29,681.28 and 12,414.90

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Solution

The fourth proportional to 19,811.82, 29,681.28 and 12,414.90 is: 18,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,811.82 : 29,681.28 = 12,414.90 : x
  2. Step 2: Convert to fraction form
    19,811.82/29,681.28 = 12,414.90/x
  3. Step 3: Cross multiply
    19,811.82x = 29,681.28 × 12,414.90
  4. Step 4: Simplify right side
    19,811.82x = 368,490,123.07
  5. Step 5: Solve for x
    x = 368,490,123.07/19,811.82
  6. Step 6: Final answer
    x = 18,599.51

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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.