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Finding the Fourth Proportional to 15,774.16, 21,769.86 and 11,788.24

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Solution

The fourth proportional to 15,774.16, 21,769.86 and 11,788.24 is: 16,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.16 : 21,769.86 = 11,788.24 : x
  2. Step 2: Convert to fraction form
    15,774.16/21,769.86 = 11,788.24/x
  3. Step 3: Cross multiply
    15,774.16x = 21,769.86 × 11,788.24
  4. Step 4: Simplify right side
    15,774.16x = 256,628,334.45
  5. Step 5: Solve for x
    x = 256,628,334.45/15,774.16
  6. Step 6: Final answer
    x = 16,268.91

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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.