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Finding the Fourth Proportional to 16,483.66, 24,719.67 and 7,123.30

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Solution

The fourth proportional to 16,483.66, 24,719.67 and 7,123.30 is: 10,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.66 : 24,719.67 = 7,123.30 : x
  2. Step 2: Convert to fraction form
    16,483.66/24,719.67 = 7,123.30/x
  3. Step 3: Cross multiply
    16,483.66x = 24,719.67 × 7,123.30
  4. Step 4: Simplify right side
    16,483.66x = 176,085,625.31
  5. Step 5: Solve for x
    x = 176,085,625.31/16,483.66
  6. Step 6: Final answer
    x = 10,682.43

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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.