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Finding the Fourth Proportional to 12,680.40, 17,498.70 and 7,897.94

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Solution

The fourth proportional to 12,680.40, 17,498.70 and 7,897.94 is: 10,898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.40 : 17,498.70 = 7,897.94 : x
  2. Step 2: Convert to fraction form
    12,680.40/17,498.70 = 7,897.94/x
  3. Step 3: Cross multiply
    12,680.40x = 17,498.70 × 7,897.94
  4. Step 4: Simplify right side
    12,680.40x = 138,203,595.18
  5. Step 5: Solve for x
    x = 138,203,595.18/12,680.40
  6. Step 6: Final answer
    x = 10,898.99

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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.