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Finding the Fourth Proportional to 13,187.44, 19,783.41 and 4,867.50

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Solution

The fourth proportional to 13,187.44, 19,783.41 and 4,867.50 is: 7,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.44 : 19,783.41 = 4,867.50 : x
  2. Step 2: Convert to fraction form
    13,187.44/19,783.41 = 4,867.50/x
  3. Step 3: Cross multiply
    13,187.44x = 19,783.41 × 4,867.50
  4. Step 4: Simplify right side
    13,187.44x = 96,295,717.01
  5. Step 5: Solve for x
    x = 96,295,717.01/13,187.44
  6. Step 6: Final answer
    x = 7,302.08

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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.