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Finding the Fourth Proportional to 16,244.17, 22,421.88 and 10,277.76

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Solution

The fourth proportional to 16,244.17, 22,421.88 and 10,277.76 is: 14,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,244.17 : 22,421.88 = 10,277.76 : x
  2. Step 2: Convert to fraction form
    16,244.17/22,421.88 = 10,277.76/x
  3. Step 3: Cross multiply
    16,244.17x = 22,421.88 × 10,277.76
  4. Step 4: Simplify right side
    16,244.17x = 230,446,679.05
  5. Step 5: Solve for x
    x = 230,446,679.05/16,244.17
  6. Step 6: Final answer
    x = 14,186.42

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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.