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Finding the Fourth Proportional to 23,352.31, 35,034.59 and 7,770.07

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Solution

The fourth proportional to 23,352.31, 35,034.59 and 7,770.07 is: 11,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,352.31 : 35,034.59 = 7,770.07 : x
  2. Step 2: Convert to fraction form
    23,352.31/35,034.59 = 7,770.07/x
  3. Step 3: Cross multiply
    23,352.31x = 35,034.59 × 7,770.07
  4. Step 4: Simplify right side
    23,352.31x = 272,221,216.72
  5. Step 5: Solve for x
    x = 272,221,216.72/23,352.31
  6. Step 6: Final answer
    x = 11,657.14

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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.