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Finding the Fourth Proportional to 18,534.84, 27,798.40 and 6,840.06

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Solution

The fourth proportional to 18,534.84, 27,798.40 and 6,840.06 is: 10,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534.84 : 27,798.40 = 6,840.06 : x
  2. Step 2: Convert to fraction form
    18,534.84/27,798.40 = 6,840.06/x
  3. Step 3: Cross multiply
    18,534.84x = 27,798.40 × 6,840.06
  4. Step 4: Simplify right side
    18,534.84x = 190,142,723.90
  5. Step 5: Solve for x
    x = 190,142,723.90/18,534.84
  6. Step 6: Final answer
    x = 10,258.67

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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.