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Finding the Fourth Proportional to 12,785.84, 17,644.08 and 7,196.72

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Solution

The fourth proportional to 12,785.84, 17,644.08 and 7,196.72 is: 9,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.84 : 17,644.08 = 7,196.72 : x
  2. Step 2: Convert to fraction form
    12,785.84/17,644.08 = 7,196.72/x
  3. Step 3: Cross multiply
    12,785.84x = 17,644.08 × 7,196.72
  4. Step 4: Simplify right side
    12,785.84x = 126,979,503.42
  5. Step 5: Solve for x
    x = 126,979,503.42/12,785.84
  6. Step 6: Final answer
    x = 9,931.26

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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.