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Finding the Fourth Proportional to 17,722.32, 26,582.84 and 5,410

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Solution

The fourth proportional to 17,722.32, 26,582.84 and 5,410 is: 8,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.32 : 26,582.84 = 5,410 : x
  2. Step 2: Convert to fraction form
    17,722.32/26,582.84 = 5,410/x
  3. Step 3: Cross multiply
    17,722.32x = 26,582.84 × 5,410
  4. Step 4: Simplify right side
    17,722.32x = 143,813,164.40
  5. Step 5: Solve for x
    x = 143,813,164.40/17,722.32
  6. Step 6: Final answer
    x = 8,114.80

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