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Finding the Fourth Proportional to 16,117.54, 22,233.81 and 10,137.94

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Solution

The fourth proportional to 16,117.54, 22,233.81 and 10,137.94 is: 13,985.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117.54 : 22,233.81 = 10,137.94 : x
  2. Step 2: Convert to fraction form
    16,117.54/22,233.81 = 10,137.94/x
  3. Step 3: Cross multiply
    16,117.54x = 22,233.81 × 10,137.94
  4. Step 4: Simplify right side
    16,117.54x = 225,405,031.75
  5. Step 5: Solve for x
    x = 225,405,031.75/16,117.54
  6. Step 6: Final answer
    x = 13,985.08

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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.