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Finding the Fourth Proportional to 15,684.59, 23,529.77 and 5,155.19

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Solution

The fourth proportional to 15,684.59, 23,529.77 and 5,155.19 is: 7,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.59 : 23,529.77 = 5,155.19 : x
  2. Step 2: Convert to fraction form
    15,684.59/23,529.77 = 5,155.19/x
  3. Step 3: Cross multiply
    15,684.59x = 23,529.77 × 5,155.19
  4. Step 4: Simplify right side
    15,684.59x = 121,300,517.01
  5. Step 5: Solve for x
    x = 121,300,517.01/15,684.59
  6. Step 6: Final answer
    x = 7,733.74

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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.