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Finding the Fourth Proportional to 19,597.72, 27,026.14 and 12,889

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Solution

The fourth proportional to 19,597.72, 27,026.14 and 12,889 is: 17,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597.72 : 27,026.14 = 12,889 : x
  2. Step 2: Convert to fraction form
    19,597.72/27,026.14 = 12,889/x
  3. Step 3: Cross multiply
    19,597.72x = 27,026.14 × 12,889
  4. Step 4: Simplify right side
    19,597.72x = 348,339,918.46
  5. Step 5: Solve for x
    x = 348,339,918.46/19,597.72
  6. Step 6: Final answer
    x = 17,774.51

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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.