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Finding the Fourth Proportional to 14,233.76, 19,633.44 and 9,453.60

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Solution

The fourth proportional to 14,233.76, 19,633.44 and 9,453.60 is: 13,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.76 : 19,633.44 = 9,453.60 : x
  2. Step 2: Convert to fraction form
    14,233.76/19,633.44 = 9,453.60/x
  3. Step 3: Cross multiply
    14,233.76x = 19,633.44 × 9,453.60
  4. Step 4: Simplify right side
    14,233.76x = 185,606,688.38
  5. Step 5: Solve for x
    x = 185,606,688.38/14,233.76
  6. Step 6: Final answer
    x = 13,039.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.