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Finding the Fourth Proportional to 23,499.29, 35,254.71 and 7,705.19

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Solution

The fourth proportional to 23,499.29, 35,254.71 and 7,705.19 is: 11,559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,499.29 : 35,254.71 = 7,705.19 : x
  2. Step 2: Convert to fraction form
    23,499.29/35,254.71 = 7,705.19/x
  3. Step 3: Cross multiply
    23,499.29x = 35,254.71 × 7,705.19
  4. Step 4: Simplify right side
    23,499.29x = 271,644,062.67
  5. Step 5: Solve for x
    x = 271,644,062.67/23,499.29
  6. Step 6: Final answer
    x = 11,559.67

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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.