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Finding the Fourth Proportional to 13,945, 19,248.42 and 8,977

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Solution

The fourth proportional to 13,945, 19,248.42 and 8,977 is: 12,391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,945 : 19,248.42 = 8,977 : x
  2. Step 2: Convert to fraction form
    13,945/19,248.42 = 8,977/x
  3. Step 3: Cross multiply
    13,945x = 19,248.42 × 8,977
  4. Step 4: Simplify right side
    13,945x = 172,793,066.34
  5. Step 5: Solve for x
    x = 172,793,066.34/13,945
  6. Step 6: Final answer
    x = 12,391.04

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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.