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Finding the Fourth Proportional to 19,482.57, 29,226.99 and 6,835.84

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Solution

The fourth proportional to 19,482.57, 29,226.99 and 6,835.84 is: 10,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,482.57 : 29,226.99 = 6,835.84 : x
  2. Step 2: Convert to fraction form
    19,482.57/29,226.99 = 6,835.84/x
  3. Step 3: Cross multiply
    19,482.57x = 29,226.99 × 6,835.84
  4. Step 4: Simplify right side
    19,482.57x = 199,791,027.32
  5. Step 5: Solve for x
    x = 199,791,027.32/19,482.57
  6. Step 6: Final answer
    x = 10,254.86

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Why These Related Problems?

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