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Finding the Fourth Proportional to 23,783.58, 35,677.14 and 7,142.28

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Solution

The fourth proportional to 23,783.58, 35,677.14 and 7,142.28 is: 10,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.58 : 35,677.14 = 7,142.28 : x
  2. Step 2: Convert to fraction form
    23,783.58/35,677.14 = 7,142.28/x
  3. Step 3: Cross multiply
    23,783.58x = 35,677.14 × 7,142.28
  4. Step 4: Simplify right side
    23,783.58x = 254,816,123.48
  5. Step 5: Solve for x
    x = 254,816,123.48/23,783.58
  6. Step 6: Final answer
    x = 10,713.95

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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.