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Finding the Fourth Proportional to 15,735.06, 21,715.29 and 8,661.60

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Solution

The fourth proportional to 15,735.06, 21,715.29 and 8,661.60 is: 11,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.06 : 21,715.29 = 8,661.60 : x
  2. Step 2: Convert to fraction form
    15,735.06/21,715.29 = 8,661.60/x
  3. Step 3: Cross multiply
    15,735.06x = 21,715.29 × 8,661.60
  4. Step 4: Simplify right side
    15,735.06x = 188,089,155.86
  5. Step 5: Solve for x
    x = 188,089,155.86/15,735.06
  6. Step 6: Final answer
    x = 11,953.51

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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.