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Finding the Fourth Proportional to 16,214.14, 22,381.08 and 9,501.94

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Solution

The fourth proportional to 16,214.14, 22,381.08 and 9,501.94 is: 13,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.14 : 22,381.08 = 9,501.94 : x
  2. Step 2: Convert to fraction form
    16,214.14/22,381.08 = 9,501.94/x
  3. Step 3: Cross multiply
    16,214.14x = 22,381.08 × 9,501.94
  4. Step 4: Simplify right side
    16,214.14x = 212,663,679.30
  5. Step 5: Solve for x
    x = 212,663,679.30/16,214.14
  6. Step 6: Final answer
    x = 13,115.94

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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.