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Finding the Fourth Proportional to 12,080.95, 18,126.64 and 6,538.23

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Solution

The fourth proportional to 12,080.95, 18,126.64 and 6,538.23 is: 9,810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,080.95 : 18,126.64 = 6,538.23 : x
  2. Step 2: Convert to fraction form
    12,080.95/18,126.64 = 6,538.23/x
  3. Step 3: Cross multiply
    12,080.95x = 18,126.64 × 6,538.23
  4. Step 4: Simplify right side
    12,080.95x = 118,516,141.45
  5. Step 5: Solve for x
    x = 118,516,141.45/12,080.95
  6. Step 6: Final answer
    x = 9,810.17

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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.