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Finding the Fourth Proportional to 21,000.16, 31,499.87 and 5,205.16

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Solution

The fourth proportional to 21,000.16, 31,499.87 and 5,205.16 is: 7,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.16 : 31,499.87 = 5,205.16 : x
  2. Step 2: Convert to fraction form
    21,000.16/31,499.87 = 5,205.16/x
  3. Step 3: Cross multiply
    21,000.16x = 31,499.87 × 5,205.16
  4. Step 4: Simplify right side
    21,000.16x = 163,961,758.55
  5. Step 5: Solve for x
    x = 163,961,758.55/21,000.16
  6. Step 6: Final answer
    x = 7,807.64

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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.