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Finding the Fourth Proportional to 21,047.14, 31,570.94 and 5,464.77

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Solution

The fourth proportional to 21,047.14, 31,570.94 and 5,464.77 is: 8,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047.14 : 31,570.94 = 5,464.77 : x
  2. Step 2: Convert to fraction form
    21,047.14/31,570.94 = 5,464.77/x
  3. Step 3: Cross multiply
    21,047.14x = 31,570.94 × 5,464.77
  4. Step 4: Simplify right side
    21,047.14x = 172,527,925.78
  5. Step 5: Solve for x
    x = 172,527,925.78/21,047.14
  6. Step 6: Final answer
    x = 8,197.21

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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.