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Finding the Fourth Proportional to 16,271.34, 22,454.18 and 9,101.42

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Solution

The fourth proportional to 16,271.34, 22,454.18 and 9,101.42 is: 12,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271.34 : 22,454.18 = 9,101.42 : x
  2. Step 2: Convert to fraction form
    16,271.34/22,454.18 = 9,101.42/x
  3. Step 3: Cross multiply
    16,271.34x = 22,454.18 × 9,101.42
  4. Step 4: Simplify right side
    16,271.34x = 204,364,877.43
  5. Step 5: Solve for x
    x = 204,364,877.43/16,271.34
  6. Step 6: Final answer
    x = 12,559.81

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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.