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Finding the Fourth Proportional to 21,271.90, 31,907.84 and 5,689.12

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Solution

The fourth proportional to 21,271.90, 31,907.84 and 5,689.12 is: 8,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,271.90 : 31,907.84 = 5,689.12 : x
  2. Step 2: Convert to fraction form
    21,271.90/31,907.84 = 5,689.12/x
  3. Step 3: Cross multiply
    21,271.90x = 31,907.84 × 5,689.12
  4. Step 4: Simplify right side
    21,271.90x = 181,527,342.72
  5. Step 5: Solve for x
    x = 181,527,342.72/21,271.90
  6. Step 6: Final answer
    x = 8,533.67

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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.