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Finding the Fourth Proportional to 26,638.08, 36,762.96 and 16,026

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Solution

The fourth proportional to 26,638.08, 36,762.96 and 16,026 is: 22,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,638.08 : 36,762.96 = 16,026 : x
  2. Step 2: Convert to fraction form
    26,638.08/36,762.96 = 16,026/x
  3. Step 3: Cross multiply
    26,638.08x = 36,762.96 × 16,026
  4. Step 4: Simplify right side
    26,638.08x = 589,163,196.96
  5. Step 5: Solve for x
    x = 589,163,196.96/26,638.08
  6. Step 6: Final answer
    x = 22,117.33

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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.