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Finding the Fourth Proportional to 16,594.97, 24,903.17 and 7,830.36

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Solution

The fourth proportional to 16,594.97, 24,903.17 and 7,830.36 is: 11,750.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.97 : 24,903.17 = 7,830.36 : x
  2. Step 2: Convert to fraction form
    16,594.97/24,903.17 = 7,830.36/x
  3. Step 3: Cross multiply
    16,594.97x = 24,903.17 × 7,830.36
  4. Step 4: Simplify right side
    16,594.97x = 195,000,747.09
  5. Step 5: Solve for x
    x = 195,000,747.09/16,594.97
  6. Step 6: Final answer
    x = 11,750.60

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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.