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Finding the Fourth Proportional to 12,897.04, 17,682 and 12,663.76

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Solution

The fourth proportional to 12,897.04, 17,682 and 12,663.76 is: 17,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.04 : 17,682 = 12,663.76 : x
  2. Step 2: Convert to fraction form
    12,897.04/17,682 = 12,663.76/x
  3. Step 3: Cross multiply
    12,897.04x = 17,682 × 12,663.76
  4. Step 4: Simplify right side
    12,897.04x = 223,920,604.32
  5. Step 5: Solve for x
    x = 223,920,604.32/12,897.04
  6. Step 6: Final answer
    x = 17,362.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.