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Finding the Fourth Proportional to 19,683, 29,524.50 and 19,187.28

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Solution

The fourth proportional to 19,683, 29,524.50 and 19,187.28 is: 28,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683 : 29,524.50 = 19,187.28 : x
  2. Step 2: Convert to fraction form
    19,683/29,524.50 = 19,187.28/x
  3. Step 3: Cross multiply
    19,683x = 29,524.50 × 19,187.28
  4. Step 4: Simplify right side
    19,683x = 566,494,848.36
  5. Step 5: Solve for x
    x = 566,494,848.36/19,683
  6. Step 6: Final answer
    x = 28,780.92

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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.