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Finding the Fourth Proportional to 19,564.88, 26,992.46 and 12,854.16

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Solution

The fourth proportional to 19,564.88, 26,992.46 and 12,854.16 is: 17,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.88 : 26,992.46 = 12,854.16 : x
  2. Step 2: Convert to fraction form
    19,564.88/26,992.46 = 12,854.16/x
  3. Step 3: Cross multiply
    19,564.88x = 26,992.46 × 12,854.16
  4. Step 4: Simplify right side
    19,564.88x = 346,965,399.63
  5. Step 5: Solve for x
    x = 346,965,399.63/19,564.88
  6. Step 6: Final answer
    x = 17,734.09

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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.