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Finding the Fourth Proportional to 26,006.70, 35,889.20 and 14,070

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Solution

The fourth proportional to 26,006.70, 35,889.20 and 14,070 is: 19,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,006.70 : 35,889.20 = 14,070 : x
  2. Step 2: Convert to fraction form
    26,006.70/35,889.20 = 14,070/x
  3. Step 3: Cross multiply
    26,006.70x = 35,889.20 × 14,070
  4. Step 4: Simplify right side
    26,006.70x = 504,961,044.00
  5. Step 5: Solve for x
    x = 504,961,044.00/26,006.70
  6. Step 6: Final answer
    x = 19,416.58

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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.