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Finding the Fourth Proportional to 14,455.52, 19,924.75 and 9,673.76

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Solution

The fourth proportional to 14,455.52, 19,924.75 and 9,673.76 is: 13,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455.52 : 19,924.75 = 9,673.76 : x
  2. Step 2: Convert to fraction form
    14,455.52/19,924.75 = 9,673.76/x
  3. Step 3: Cross multiply
    14,455.52x = 19,924.75 × 9,673.76
  4. Step 4: Simplify right side
    14,455.52x = 192,747,249.56
  5. Step 5: Solve for x
    x = 192,747,249.56/14,455.52
  6. Step 6: Final answer
    x = 13,333.82

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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.