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Finding the Fourth Proportional to 19,683.52, 29,497.65 and 10,775.95

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Solution

The fourth proportional to 19,683.52, 29,497.65 and 10,775.95 is: 16,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.52 : 29,497.65 = 10,775.95 : x
  2. Step 2: Convert to fraction form
    19,683.52/29,497.65 = 10,775.95/x
  3. Step 3: Cross multiply
    19,683.52x = 29,497.65 × 10,775.95
  4. Step 4: Simplify right side
    19,683.52x = 317,865,201.52
  5. Step 5: Solve for x
    x = 317,865,201.52/19,683.52
  6. Step 6: Final answer
    x = 16,148.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.