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Finding the Fourth Proportional to 16,994, 23,451.72 and 9,542

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Solution

The fourth proportional to 16,994, 23,451.72 and 9,542 is: 13,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,994 : 23,451.72 = 9,542 : x
  2. Step 2: Convert to fraction form
    16,994/23,451.72 = 9,542/x
  3. Step 3: Cross multiply
    16,994x = 23,451.72 × 9,542
  4. Step 4: Simplify right side
    16,994x = 223,776,312.24
  5. Step 5: Solve for x
    x = 223,776,312.24/16,994
  6. Step 6: Final answer
    x = 13,167.96

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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.