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Finding the Fourth Proportional to 19,347.42, 29,020.53 and 5,496.42

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Solution

The fourth proportional to 19,347.42, 29,020.53 and 5,496.42 is: 8,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,347.42 : 29,020.53 = 5,496.42 : x
  2. Step 2: Convert to fraction form
    19,347.42/29,020.53 = 5,496.42/x
  3. Step 3: Cross multiply
    19,347.42x = 29,020.53 × 5,496.42
  4. Step 4: Simplify right side
    19,347.42x = 159,509,021.50
  5. Step 5: Solve for x
    x = 159,509,021.50/19,347.42
  6. Step 6: Final answer
    x = 8,244.46

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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.