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Finding the Fourth Proportional to 21,298.08, 31,942.72 and 5,712

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Solution

The fourth proportional to 21,298.08, 31,942.72 and 5,712 is: 8,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,298.08 : 31,942.72 = 5,712 : x
  2. Step 2: Convert to fraction form
    21,298.08/31,942.72 = 5,712/x
  3. Step 3: Cross multiply
    21,298.08x = 31,942.72 × 5,712
  4. Step 4: Simplify right side
    21,298.08x = 182,456,816.64
  5. Step 5: Solve for x
    x = 182,456,816.64/21,298.08
  6. Step 6: Final answer
    x = 8,566.82

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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.