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Finding the Fourth Proportional to 16,983.56, 23,437.44 and 9,429.40

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Solution

The fourth proportional to 16,983.56, 23,437.44 and 9,429.40 is: 13,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,983.56 : 23,437.44 = 9,429.40 : x
  2. Step 2: Convert to fraction form
    16,983.56/23,437.44 = 9,429.40/x
  3. Step 3: Cross multiply
    16,983.56x = 23,437.44 × 9,429.40
  4. Step 4: Simplify right side
    16,983.56x = 221,000,996.74
  5. Step 5: Solve for x
    x = 221,000,996.74/16,983.56
  6. Step 6: Final answer
    x = 13,012.64

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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.