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Finding the Fourth Proportional to 16,493.58, 22,760.16 and 9,779.84

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Solution

The fourth proportional to 16,493.58, 22,760.16 and 9,779.84 is: 13,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.58 : 22,760.16 = 9,779.84 : x
  2. Step 2: Convert to fraction form
    16,493.58/22,760.16 = 9,779.84/x
  3. Step 3: Cross multiply
    16,493.58x = 22,760.16 × 9,779.84
  4. Step 4: Simplify right side
    16,493.58x = 222,590,723.17
  5. Step 5: Solve for x
    x = 222,590,723.17/16,493.58
  6. Step 6: Final answer
    x = 13,495.60

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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.