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Finding the Fourth Proportional to 13,856.11, 19,088.02 and 11,022.64

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Solution

The fourth proportional to 13,856.11, 19,088.02 and 11,022.64 is: 15,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.11 : 19,088.02 = 11,022.64 : x
  2. Step 2: Convert to fraction form
    13,856.11/19,088.02 = 11,022.64/x
  3. Step 3: Cross multiply
    13,856.11x = 19,088.02 × 11,022.64
  4. Step 4: Simplify right side
    13,856.11x = 210,400,372.77
  5. Step 5: Solve for x
    x = 210,400,372.77/13,856.11
  6. Step 6: Final answer
    x = 15,184.66

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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.