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Finding the Fourth Proportional to 16,127.84, 22,245.72 and 9,750.26

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Solution

The fourth proportional to 16,127.84, 22,245.72 and 9,750.26 is: 13,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,127.84 : 22,245.72 = 9,750.26 : x
  2. Step 2: Convert to fraction form
    16,127.84/22,245.72 = 9,750.26/x
  3. Step 3: Cross multiply
    16,127.84x = 22,245.72 × 9,750.26
  4. Step 4: Simplify right side
    16,127.84x = 216,901,553.89
  5. Step 5: Solve for x
    x = 216,901,553.89/16,127.84
  6. Step 6: Final answer
    x = 13,448.89

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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.