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Finding the Fourth Proportional to 12,461.46, 17,196.69 and 7,157.94

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Solution

The fourth proportional to 12,461.46, 17,196.69 and 7,157.94 is: 9,877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.46 : 17,196.69 = 7,157.94 : x
  2. Step 2: Convert to fraction form
    12,461.46/17,196.69 = 7,157.94/x
  3. Step 3: Cross multiply
    12,461.46x = 17,196.69 × 7,157.94
  4. Step 4: Simplify right side
    12,461.46x = 123,092,875.22
  5. Step 5: Solve for x
    x = 123,092,875.22/12,461.46
  6. Step 6: Final answer
    x = 9,877.89

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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.