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Finding the Fourth Proportional to 16,477.31, 24,719.09 and 6,617.36

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Solution

The fourth proportional to 16,477.31, 24,719.09 and 6,617.36 is: 9,927.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.31 : 24,719.09 = 6,617.36 : x
  2. Step 2: Convert to fraction form
    16,477.31/24,719.09 = 6,617.36/x
  3. Step 3: Cross multiply
    16,477.31x = 24,719.09 × 6,617.36
  4. Step 4: Simplify right side
    16,477.31x = 163,575,146.11
  5. Step 5: Solve for x
    x = 163,575,146.11/16,477.31
  6. Step 6: Final answer
    x = 9,927.30

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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.