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Finding the Fourth Proportional to 23,562.13, 35,347.53 and 7,768.11

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Solution

The fourth proportional to 23,562.13, 35,347.53 and 7,768.11 is: 11,653.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562.13 : 35,347.53 = 7,768.11 : x
  2. Step 2: Convert to fraction form
    23,562.13/35,347.53 = 7,768.11/x
  3. Step 3: Cross multiply
    23,562.13x = 35,347.53 × 7,768.11
  4. Step 4: Simplify right side
    23,562.13x = 274,583,501.27
  5. Step 5: Solve for x
    x = 274,583,501.27/23,562.13
  6. Step 6: Final answer
    x = 11,653.59

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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.