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Finding the Fourth Proportional to 19,468.71, 29,184.41 and 12,428.87

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Solution

The fourth proportional to 19,468.71, 29,184.41 and 12,428.87 is: 18,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,468.71 : 29,184.41 = 12,428.87 : x
  2. Step 2: Convert to fraction form
    19,468.71/29,184.41 = 12,428.87/x
  3. Step 3: Cross multiply
    19,468.71x = 29,184.41 × 12,428.87
  4. Step 4: Simplify right side
    19,468.71x = 362,729,123.07
  5. Step 5: Solve for x
    x = 362,729,123.07/19,468.71
  6. Step 6: Final answer
    x = 18,631.39

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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.