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Finding the Fourth Proportional to 19,643.68, 27,109.04 and 11,261.76

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Solution

The fourth proportional to 19,643.68, 27,109.04 and 11,261.76 is: 15,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.68 : 27,109.04 = 11,261.76 : x
  2. Step 2: Convert to fraction form
    19,643.68/27,109.04 = 11,261.76/x
  3. Step 3: Cross multiply
    19,643.68x = 27,109.04 × 11,261.76
  4. Step 4: Simplify right side
    19,643.68x = 305,295,502.31
  5. Step 5: Solve for x
    x = 305,295,502.31/19,643.68
  6. Step 6: Final answer
    x = 15,541.67

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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.