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Finding the Fourth Proportional to 18,140.32, 25,033.74 and 10,182.64

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Solution

The fourth proportional to 18,140.32, 25,033.74 and 10,182.64 is: 14,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,140.32 : 25,033.74 = 10,182.64 : x
  2. Step 2: Convert to fraction form
    18,140.32/25,033.74 = 10,182.64/x
  3. Step 3: Cross multiply
    18,140.32x = 25,033.74 × 10,182.64
  4. Step 4: Simplify right side
    18,140.32x = 254,909,562.27
  5. Step 5: Solve for x
    x = 254,909,562.27/18,140.32
  6. Step 6: Final answer
    x = 14,052.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.