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Finding the Fourth Proportional to 23,403.09, 35,104.64 and 7,820.72

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Solution

The fourth proportional to 23,403.09, 35,104.64 and 7,820.72 is: 11,731.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,403.09 : 35,104.64 = 7,820.72 : x
  2. Step 2: Convert to fraction form
    23,403.09/35,104.64 = 7,820.72/x
  3. Step 3: Cross multiply
    23,403.09x = 35,104.64 × 7,820.72
  4. Step 4: Simplify right side
    23,403.09x = 274,543,521.15
  5. Step 5: Solve for x
    x = 274,543,521.15/23,403.09
  6. Step 6: Final answer
    x = 11,731.08

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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.