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Finding the Fourth Proportional to 16,852.66, 23,257.82 and 9,779.08

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Solution

The fourth proportional to 16,852.66, 23,257.82 and 9,779.08 is: 13,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.66 : 23,257.82 = 9,779.08 : x
  2. Step 2: Convert to fraction form
    16,852.66/23,257.82 = 9,779.08/x
  3. Step 3: Cross multiply
    16,852.66x = 23,257.82 × 9,779.08
  4. Step 4: Simplify right side
    16,852.66x = 227,440,082.41
  5. Step 5: Solve for x
    x = 227,440,082.41/16,852.66
  6. Step 6: Final answer
    x = 13,495.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.