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Finding the Fourth Proportional to 14,241.93, 21,366.47 and 6,448.65

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Solution

The fourth proportional to 14,241.93, 21,366.47 and 6,448.65 is: 9,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,241.93 : 21,366.47 = 6,448.65 : x
  2. Step 2: Convert to fraction form
    14,241.93/21,366.47 = 6,448.65/x
  3. Step 3: Cross multiply
    14,241.93x = 21,366.47 × 6,448.65
  4. Step 4: Simplify right side
    14,241.93x = 137,784,886.77
  5. Step 5: Solve for x
    x = 137,784,886.77/14,241.93
  6. Step 6: Final answer
    x = 9,674.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.