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Finding the Fourth Proportional to 19,561.29, 29,341.94 and 4,770.34

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Solution

The fourth proportional to 19,561.29, 29,341.94 and 4,770.34 is: 7,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,561.29 : 29,341.94 = 4,770.34 : x
  2. Step 2: Convert to fraction form
    19,561.29/29,341.94 = 4,770.34/x
  3. Step 3: Cross multiply
    19,561.29x = 29,341.94 × 4,770.34
  4. Step 4: Simplify right side
    19,561.29x = 139,970,859.50
  5. Step 5: Solve for x
    x = 139,970,859.50/19,561.29
  6. Step 6: Final answer
    x = 7,155.50

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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.