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Finding the Fourth Proportional to 16,810.95, 23,156.38 and 12,825.14

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Solution

The fourth proportional to 16,810.95, 23,156.38 and 12,825.14 is: 17,666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,810.95 : 23,156.38 = 12,825.14 : x
  2. Step 2: Convert to fraction form
    16,810.95/23,156.38 = 12,825.14/x
  3. Step 3: Cross multiply
    16,810.95x = 23,156.38 × 12,825.14
  4. Step 4: Simplify right side
    16,810.95x = 296,983,815.39
  5. Step 5: Solve for x
    x = 296,983,815.39/16,810.95
  6. Step 6: Final answer
    x = 17,666.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.