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Finding the Fourth Proportional to 12,142.49, 16,756.94 and 6,837.50

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Solution

The fourth proportional to 12,142.49, 16,756.94 and 6,837.50 is: 9,435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.49 : 16,756.94 = 6,837.50 : x
  2. Step 2: Convert to fraction form
    12,142.49/16,756.94 = 6,837.50/x
  3. Step 3: Cross multiply
    12,142.49x = 16,756.94 × 6,837.50
  4. Step 4: Simplify right side
    12,142.49x = 114,575,636.24
  5. Step 5: Solve for x
    x = 114,575,636.24/12,142.49
  6. Step 6: Final answer
    x = 9,435.93

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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.