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Finding the Fourth Proportional to 12,900.87, 17,802.59 and 7,234.92

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Solution

The fourth proportional to 12,900.87, 17,802.59 and 7,234.92 is: 9,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.87 : 17,802.59 = 7,234.92 : x
  2. Step 2: Convert to fraction form
    12,900.87/17,802.59 = 7,234.92/x
  3. Step 3: Cross multiply
    12,900.87x = 17,802.59 × 7,234.92
  4. Step 4: Simplify right side
    12,900.87x = 128,800,278.27
  5. Step 5: Solve for x
    x = 128,800,278.27/12,900.87
  6. Step 6: Final answer
    x = 9,983.84

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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.