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Finding the Fourth Proportional to 19,528.80, 29,312.64 and 10,767.84

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Solution

The fourth proportional to 19,528.80, 29,312.64 and 10,767.84 is: 16,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,528.80 : 29,312.64 = 10,767.84 : x
  2. Step 2: Convert to fraction form
    19,528.80/29,312.64 = 10,767.84/x
  3. Step 3: Cross multiply
    19,528.80x = 29,312.64 × 10,767.84
  4. Step 4: Simplify right side
    19,528.80x = 315,633,817.50
  5. Step 5: Solve for x
    x = 315,633,817.50/19,528.80
  6. Step 6: Final answer
    x = 16,162.48

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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.