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Finding the Fourth Proportional to 23,783.63, 35,674.07 and 7,143.29

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Solution

The fourth proportional to 23,783.63, 35,674.07 and 7,143.29 is: 10,714.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.63 : 35,674.07 = 7,143.29 : x
  2. Step 2: Convert to fraction form
    23,783.63/35,674.07 = 7,143.29/x
  3. Step 3: Cross multiply
    23,783.63x = 35,674.07 × 7,143.29
  4. Step 4: Simplify right side
    23,783.63x = 254,830,187.36
  5. Step 5: Solve for x
    x = 254,830,187.36/23,783.63
  6. Step 6: Final answer
    x = 10,714.52

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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.