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Finding the Fourth Proportional to 15,337.84, 23,010.94 and 5,478.12

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Solution

The fourth proportional to 15,337.84, 23,010.94 and 5,478.12 is: 8,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,337.84 : 23,010.94 = 5,478.12 : x
  2. Step 2: Convert to fraction form
    15,337.84/23,010.94 = 5,478.12/x
  3. Step 3: Cross multiply
    15,337.84x = 23,010.94 × 5,478.12
  4. Step 4: Simplify right side
    15,337.84x = 126,056,690.63
  5. Step 5: Solve for x
    x = 126,056,690.63/15,337.84
  6. Step 6: Final answer
    x = 8,218.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.