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Finding the Fourth Proportional to 16,695.30, 23,038.98 and 9,141.44

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Solution

The fourth proportional to 16,695.30, 23,038.98 and 9,141.44 is: 12,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,695.30 : 23,038.98 = 9,141.44 : x
  2. Step 2: Convert to fraction form
    16,695.30/23,038.98 = 9,141.44/x
  3. Step 3: Cross multiply
    16,695.30x = 23,038.98 × 9,141.44
  4. Step 4: Simplify right side
    16,695.30x = 210,609,338.14
  5. Step 5: Solve for x
    x = 210,609,338.14/16,695.30
  6. Step 6: Final answer
    x = 12,614.89

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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.