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Finding the Fourth Proportional to 15,602.16, 23,403.23 and 5,213.91

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Solution

The fourth proportional to 15,602.16, 23,403.23 and 5,213.91 is: 7,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,602.16 : 23,403.23 = 5,213.91 : x
  2. Step 2: Convert to fraction form
    15,602.16/23,403.23 = 5,213.91/x
  3. Step 3: Cross multiply
    15,602.16x = 23,403.23 × 5,213.91
  4. Step 4: Simplify right side
    15,602.16x = 122,022,269.98
  5. Step 5: Solve for x
    x = 122,022,269.98/15,602.16
  6. Step 6: Final answer
    x = 7,820.86

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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.