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Finding the Fourth Proportional to 21,137.76, 31,708.32 and 7,097.84

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Solution

The fourth proportional to 21,137.76, 31,708.32 and 7,097.84 is: 10,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,137.76 : 31,708.32 = 7,097.84 : x
  2. Step 2: Convert to fraction form
    21,137.76/31,708.32 = 7,097.84/x
  3. Step 3: Cross multiply
    21,137.76x = 31,708.32 × 7,097.84
  4. Step 4: Simplify right side
    21,137.76x = 225,060,582.03
  5. Step 5: Solve for x
    x = 225,060,582.03/21,137.76
  6. Step 6: Final answer
    x = 10,647.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.