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Finding the Fourth Proportional to 14,431, 21,646.50 and 5,197

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Solution

The fourth proportional to 14,431, 21,646.50 and 5,197 is: 7,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431 : 21,646.50 = 5,197 : x
  2. Step 2: Convert to fraction form
    14,431/21,646.50 = 5,197/x
  3. Step 3: Cross multiply
    14,431x = 21,646.50 × 5,197
  4. Step 4: Simplify right side
    14,431x = 112,496,860.50
  5. Step 5: Solve for x
    x = 112,496,860.50/14,431
  6. Step 6: Final answer
    x = 7,795.50

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Why These Related Problems?

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