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Finding the Fourth Proportional to 12,083.06, 18,128.70 and 10,918.50

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Solution

The fourth proportional to 12,083.06, 18,128.70 and 10,918.50 is: 16,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.06 : 18,128.70 = 10,918.50 : x
  2. Step 2: Convert to fraction form
    12,083.06/18,128.70 = 10,918.50/x
  3. Step 3: Cross multiply
    12,083.06x = 18,128.70 × 10,918.50
  4. Step 4: Simplify right side
    12,083.06x = 197,938,210.95
  5. Step 5: Solve for x
    x = 197,938,210.95/12,083.06
  6. Step 6: Final answer
    x = 16,381.46

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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.