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Finding the Fourth Proportional to 15,694.41, 23,543.16 and 5,160.16

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Solution

The fourth proportional to 15,694.41, 23,543.16 and 5,160.16 is: 7,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694.41 : 23,543.16 = 5,160.16 : x
  2. Step 2: Convert to fraction form
    15,694.41/23,543.16 = 5,160.16/x
  3. Step 3: Cross multiply
    15,694.41x = 23,543.16 × 5,160.16
  4. Step 4: Simplify right side
    15,694.41x = 121,486,328.99
  5. Step 5: Solve for x
    x = 121,486,328.99/15,694.41
  6. Step 6: Final answer
    x = 7,740.74

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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.