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Finding the Fourth Proportional to 13,026, 17,971.66 and 7,987.70

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Solution

The fourth proportional to 13,026, 17,971.66 and 7,987.70 is: 11,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026 : 17,971.66 = 7,987.70 : x
  2. Step 2: Convert to fraction form
    13,026/17,971.66 = 7,987.70/x
  3. Step 3: Cross multiply
    13,026x = 17,971.66 × 7,987.70
  4. Step 4: Simplify right side
    13,026x = 143,552,228.58
  5. Step 5: Solve for x
    x = 143,552,228.58/13,026
  6. Step 6: Final answer
    x = 11,020.44

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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.