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Finding the Fourth Proportional to 16,774.68, 23,143.10 and 9,966.99

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Solution

The fourth proportional to 16,774.68, 23,143.10 and 9,966.99 is: 13,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,774.68 : 23,143.10 = 9,966.99 : x
  2. Step 2: Convert to fraction form
    16,774.68/23,143.10 = 9,966.99/x
  3. Step 3: Cross multiply
    16,774.68x = 23,143.10 × 9,966.99
  4. Step 4: Simplify right side
    16,774.68x = 230,666,996.43
  5. Step 5: Solve for x
    x = 230,666,996.43/16,774.68
  6. Step 6: Final answer
    x = 13,750.90

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1.5x scale

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.