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Finding the Fourth Proportional to 12,243.75, 16,901.54 and 8,270.24

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Solution

The fourth proportional to 12,243.75, 16,901.54 and 8,270.24 is: 11,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.75 : 16,901.54 = 8,270.24 : x
  2. Step 2: Convert to fraction form
    12,243.75/16,901.54 = 8,270.24/x
  3. Step 3: Cross multiply
    12,243.75x = 16,901.54 × 8,270.24
  4. Step 4: Simplify right side
    12,243.75x = 139,779,666.31
  5. Step 5: Solve for x
    x = 139,779,666.31/12,243.75
  6. Step 6: Final answer
    x = 11,416.41

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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.