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Finding the Fourth Proportional to 12,238.74, 16,874.68 and 10,346.99

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Solution

The fourth proportional to 12,238.74, 16,874.68 and 10,346.99 is: 14,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.74 : 16,874.68 = 10,346.99 : x
  2. Step 2: Convert to fraction form
    12,238.74/16,874.68 = 10,346.99/x
  3. Step 3: Cross multiply
    12,238.74x = 16,874.68 × 10,346.99
  4. Step 4: Simplify right side
    12,238.74x = 174,602,009.10
  5. Step 5: Solve for x
    x = 174,602,009.10/12,238.74
  6. Step 6: Final answer
    x = 14,266.34

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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.