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Finding the Fourth Proportional to 13,783.74, 19,015.47 and 8,191.50

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Solution

The fourth proportional to 13,783.74, 19,015.47 and 8,191.50 is: 11,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.74 : 19,015.47 = 8,191.50 : x
  2. Step 2: Convert to fraction form
    13,783.74/19,015.47 = 8,191.50/x
  3. Step 3: Cross multiply
    13,783.74x = 19,015.47 × 8,191.50
  4. Step 4: Simplify right side
    13,783.74x = 155,765,222.51
  5. Step 5: Solve for x
    x = 155,765,222.51/13,783.74
  6. Step 6: Final answer
    x = 11,300.65

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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.