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Finding the Fourth Proportional to 13,289.11, 19,895.04 and 7,725.49

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Solution

The fourth proportional to 13,289.11, 19,895.04 and 7,725.49 is: 11,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,289.11 : 19,895.04 = 7,725.49 : x
  2. Step 2: Convert to fraction form
    13,289.11/19,895.04 = 7,725.49/x
  3. Step 3: Cross multiply
    13,289.11x = 19,895.04 × 7,725.49
  4. Step 4: Simplify right side
    13,289.11x = 153,698,932.57
  5. Step 5: Solve for x
    x = 153,698,932.57/13,289.11
  6. Step 6: Final answer
    x = 11,565.78

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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.