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Finding the Fourth Proportional to 23,580.53, 35,363.28 and 7,782.63

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Solution

The fourth proportional to 23,580.53, 35,363.28 and 7,782.63 is: 11,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.53 : 35,363.28 = 7,782.63 : x
  2. Step 2: Convert to fraction form
    23,580.53/35,363.28 = 7,782.63/x
  3. Step 3: Cross multiply
    23,580.53x = 35,363.28 × 7,782.63
  4. Step 4: Simplify right side
    23,580.53x = 275,219,419.32
  5. Step 5: Solve for x
    x = 275,219,419.32/23,580.53
  6. Step 6: Final answer
    x = 11,671.47

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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.