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Finding the Fourth Proportional to 23,364.68, 35,047.38 and 7,782.32

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Solution

The fourth proportional to 23,364.68, 35,047.38 and 7,782.32 is: 11,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,364.68 : 35,047.38 = 7,782.32 : x
  2. Step 2: Convert to fraction form
    23,364.68/35,047.38 = 7,782.32/x
  3. Step 3: Cross multiply
    23,364.68x = 35,047.38 × 7,782.32
  4. Step 4: Simplify right side
    23,364.68x = 272,749,926.32
  5. Step 5: Solve for x
    x = 272,749,926.32/23,364.68
  6. Step 6: Final answer
    x = 11,673.60

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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.