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Finding the Fourth Proportional to 26,213, 36,180.74 and 16,657.50

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Solution

The fourth proportional to 26,213, 36,180.74 and 16,657.50 is: 22,991.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,213 : 36,180.74 = 16,657.50 : x
  2. Step 2: Convert to fraction form
    26,213/36,180.74 = 16,657.50/x
  3. Step 3: Cross multiply
    26,213x = 36,180.74 × 16,657.50
  4. Step 4: Simplify right side
    26,213x = 602,680,676.55
  5. Step 5: Solve for x
    x = 602,680,676.55/26,213
  6. Step 6: Final answer
    x = 22,991.67

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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.