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Finding the Fourth Proportional to 12,461.17, 17,197.43 and 7,157.70

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Solution

The fourth proportional to 12,461.17, 17,197.43 and 7,157.70 is: 9,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.17 : 17,197.43 = 7,157.70 : x
  2. Step 2: Convert to fraction form
    12,461.17/17,197.43 = 7,157.70/x
  3. Step 3: Cross multiply
    12,461.17x = 17,197.43 × 7,157.70
  4. Step 4: Simplify right side
    12,461.17x = 123,094,044.71
  5. Step 5: Solve for x
    x = 123,094,044.71/12,461.17
  6. Step 6: Final answer
    x = 9,878.21

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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.