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Finding the Fourth Proportional to 21,000.21, 31,500.63 and 5,417.79

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Solution

The fourth proportional to 21,000.21, 31,500.63 and 5,417.79 is: 8,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.21 : 31,500.63 = 5,417.79 : x
  2. Step 2: Convert to fraction form
    21,000.21/31,500.63 = 5,417.79/x
  3. Step 3: Cross multiply
    21,000.21x = 31,500.63 × 5,417.79
  4. Step 4: Simplify right side
    21,000.21x = 170,663,798.21
  5. Step 5: Solve for x
    x = 170,663,798.21/21,000.21
  6. Step 6: Final answer
    x = 8,126.77

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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.