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Finding the Fourth Proportional to 14,235.71, 19,613.31 and 9,924.80

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Solution

The fourth proportional to 14,235.71, 19,613.31 and 9,924.80 is: 13,673.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.71 : 19,613.31 = 9,924.80 : x
  2. Step 2: Convert to fraction form
    14,235.71/19,613.31 = 9,924.80/x
  3. Step 3: Cross multiply
    14,235.71x = 19,613.31 × 9,924.80
  4. Step 4: Simplify right side
    14,235.71x = 194,658,179.09
  5. Step 5: Solve for x
    x = 194,658,179.09/14,235.71
  6. Step 6: Final answer
    x = 13,673.94

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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.