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Finding the Fourth Proportional to 23,353.74, 35,030.82 and 7,771.32

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Solution

The fourth proportional to 23,353.74, 35,030.82 and 7,771.32 is: 11,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,353.74 : 35,030.82 = 7,771.32 : x
  2. Step 2: Convert to fraction form
    23,353.74/35,030.82 = 7,771.32/x
  3. Step 3: Cross multiply
    23,353.74x = 35,030.82 × 7,771.32
  4. Step 4: Simplify right side
    23,353.74x = 272,235,712.08
  5. Step 5: Solve for x
    x = 272,235,712.08/23,353.74
  6. Step 6: Final answer
    x = 11,657.05

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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.