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Finding the Fourth Proportional to 16,176.08, 22,322.71 and 9,102.35

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Solution

The fourth proportional to 16,176.08, 22,322.71 and 9,102.35 is: 12,561.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.08 : 22,322.71 = 9,102.35 : x
  2. Step 2: Convert to fraction form
    16,176.08/22,322.71 = 9,102.35/x
  3. Step 3: Cross multiply
    16,176.08x = 22,322.71 × 9,102.35
  4. Step 4: Simplify right side
    16,176.08x = 203,189,119.37
  5. Step 5: Solve for x
    x = 203,189,119.37/16,176.08
  6. Step 6: Final answer
    x = 12,561.09

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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.