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Finding the Fourth Proportional to 16,679.84, 23,018 and 9,126.32

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Solution

The fourth proportional to 16,679.84, 23,018 and 9,126.32 is: 12,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,679.84 : 23,018 = 9,126.32 : x
  2. Step 2: Convert to fraction form
    16,679.84/23,018 = 9,126.32/x
  3. Step 3: Cross multiply
    16,679.84x = 23,018 × 9,126.32
  4. Step 4: Simplify right side
    16,679.84x = 210,069,633.76
  5. Step 5: Solve for x
    x = 210,069,633.76/16,679.84
  6. Step 6: Final answer
    x = 12,594.22

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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.