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Finding the Fourth Proportional to 14,281.65, 19,698.06 and 9,241.98

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Solution

The fourth proportional to 14,281.65, 19,698.06 and 9,241.98 is: 12,747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281.65 : 19,698.06 = 9,241.98 : x
  2. Step 2: Convert to fraction form
    14,281.65/19,698.06 = 9,241.98/x
  3. Step 3: Cross multiply
    14,281.65x = 19,698.06 × 9,241.98
  4. Step 4: Simplify right side
    14,281.65x = 182,049,177.56
  5. Step 5: Solve for x
    x = 182,049,177.56/14,281.65
  6. Step 6: Final answer
    x = 12,747.07

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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.