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Finding the Fourth Proportional to 13,995.09, 20,970.65 and 9,774.18

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Solution

The fourth proportional to 13,995.09, 20,970.65 and 9,774.18 is: 14,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,995.09 : 20,970.65 = 9,774.18 : x
  2. Step 2: Convert to fraction form
    13,995.09/20,970.65 = 9,774.18/x
  3. Step 3: Cross multiply
    13,995.09x = 20,970.65 × 9,774.18
  4. Step 4: Simplify right side
    13,995.09x = 204,970,858.95
  5. Step 5: Solve for x
    x = 204,970,858.95/13,995.09
  6. Step 6: Final answer
    x = 14,645.91

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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.