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Finding the Fourth Proportional to 16,464.90, 24,696.48 and 4,619.50

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Solution

The fourth proportional to 16,464.90, 24,696.48 and 4,619.50 is: 6,929.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.90 : 24,696.48 = 4,619.50 : x
  2. Step 2: Convert to fraction form
    16,464.90/24,696.48 = 4,619.50/x
  3. Step 3: Cross multiply
    16,464.90x = 24,696.48 × 4,619.50
  4. Step 4: Simplify right side
    16,464.90x = 114,085,389.36
  5. Step 5: Solve for x
    x = 114,085,389.36/16,464.90
  6. Step 6: Final answer
    x = 6,929.01

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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.