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Finding the Fourth Proportional to 19,823.58, 29,729.16 and 6,493.50

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Solution

The fourth proportional to 19,823.58, 29,729.16 and 6,493.50 is: 9,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.58 : 29,729.16 = 6,493.50 : x
  2. Step 2: Convert to fraction form
    19,823.58/29,729.16 = 6,493.50/x
  3. Step 3: Cross multiply
    19,823.58x = 29,729.16 × 6,493.50
  4. Step 4: Simplify right side
    19,823.58x = 193,046,300.46
  5. Step 5: Solve for x
    x = 193,046,300.46/19,823.58
  6. Step 6: Final answer
    x = 9,738.22

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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.