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Finding the Fourth Proportional to 13,264.32, 19,993.68 and 12,156

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Solution

The fourth proportional to 13,264.32, 19,993.68 and 12,156 is: 18,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.32 : 19,993.68 = 12,156 : x
  2. Step 2: Convert to fraction form
    13,264.32/19,993.68 = 12,156/x
  3. Step 3: Cross multiply
    13,264.32x = 19,993.68 × 12,156
  4. Step 4: Simplify right side
    13,264.32x = 243,043,174.08
  5. Step 5: Solve for x
    x = 243,043,174.08/13,264.32
  6. Step 6: Final answer
    x = 18,323.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.