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Finding the Fourth Proportional to 13,291.95, 19,928.64 and 5,892.42

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Solution

The fourth proportional to 13,291.95, 19,928.64 and 5,892.42 is: 8,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.95 : 19,928.64 = 5,892.42 : x
  2. Step 2: Convert to fraction form
    13,291.95/19,928.64 = 5,892.42/x
  3. Step 3: Cross multiply
    13,291.95x = 19,928.64 × 5,892.42
  4. Step 4: Simplify right side
    13,291.95x = 117,427,916.91
  5. Step 5: Solve for x
    x = 117,427,916.91/13,291.95
  6. Step 6: Final answer
    x = 8,834.51

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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.