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Finding the Fourth Proportional to 16,182.78, 24,254.01 and 5,783.10

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Solution

The fourth proportional to 16,182.78, 24,254.01 and 5,783.10 is: 8,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.78 : 24,254.01 = 5,783.10 : x
  2. Step 2: Convert to fraction form
    16,182.78/24,254.01 = 5,783.10/x
  3. Step 3: Cross multiply
    16,182.78x = 24,254.01 × 5,783.10
  4. Step 4: Simplify right side
    16,182.78x = 140,263,365.23
  5. Step 5: Solve for x
    x = 140,263,365.23/16,182.78
  6. Step 6: Final answer
    x = 8,667.45

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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.