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Finding the Fourth Proportional to 19,656.96, 27,128.16 and 12,589.44

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Solution

The fourth proportional to 19,656.96, 27,128.16 and 12,589.44 is: 17,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,656.96 : 27,128.16 = 12,589.44 : x
  2. Step 2: Convert to fraction form
    19,656.96/27,128.16 = 12,589.44/x
  3. Step 3: Cross multiply
    19,656.96x = 27,128.16 × 12,589.44
  4. Step 4: Simplify right side
    19,656.96x = 341,528,342.63
  5. Step 5: Solve for x
    x = 341,528,342.63/19,656.96
  6. Step 6: Final answer
    x = 17,374.42

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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.