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Finding the Fourth Proportional to 14,497.84, 21,845.51 and 11,923.02

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Solution

The fourth proportional to 14,497.84, 21,845.51 and 11,923.02 is: 17,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.84 : 21,845.51 = 11,923.02 : x
  2. Step 2: Convert to fraction form
    14,497.84/21,845.51 = 11,923.02/x
  3. Step 3: Cross multiply
    14,497.84x = 21,845.51 × 11,923.02
  4. Step 4: Simplify right side
    14,497.84x = 260,464,515.94
  5. Step 5: Solve for x
    x = 260,464,515.94/14,497.84
  6. Step 6: Final answer
    x = 17,965.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.