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Finding the Fourth Proportional to 12,271.84, 16,935.21 and 6,894.32

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Solution

The fourth proportional to 12,271.84, 16,935.21 and 6,894.32 is: 9,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.84 : 16,935.21 = 6,894.32 : x
  2. Step 2: Convert to fraction form
    12,271.84/16,935.21 = 6,894.32/x
  3. Step 3: Cross multiply
    12,271.84x = 16,935.21 × 6,894.32
  4. Step 4: Simplify right side
    12,271.84x = 116,756,672.33
  5. Step 5: Solve for x
    x = 116,756,672.33/12,271.84
  6. Step 6: Final answer
    x = 9,514.20

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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.