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Finding the Fourth Proportional to 19,582.50, 29,373.84 and 5,731.50

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Solution

The fourth proportional to 19,582.50, 29,373.84 and 5,731.50 is: 8,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,582.50 : 29,373.84 = 5,731.50 : x
  2. Step 2: Convert to fraction form
    19,582.50/29,373.84 = 5,731.50/x
  3. Step 3: Cross multiply
    19,582.50x = 29,373.84 × 5,731.50
  4. Step 4: Simplify right side
    19,582.50x = 168,356,163.96
  5. Step 5: Solve for x
    x = 168,356,163.96/19,582.50
  6. Step 6: Final answer
    x = 8,597.28

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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.