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Finding the Fourth Proportional to 21,475.98, 32,219.01 and 8,989.02

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Solution

The fourth proportional to 21,475.98, 32,219.01 and 8,989.02 is: 13,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,475.98 : 32,219.01 = 8,989.02 : x
  2. Step 2: Convert to fraction form
    21,475.98/32,219.01 = 8,989.02/x
  3. Step 3: Cross multiply
    21,475.98x = 32,219.01 × 8,989.02
  4. Step 4: Simplify right side
    21,475.98x = 289,617,325.27
  5. Step 5: Solve for x
    x = 289,617,325.27/21,475.98
  6. Step 6: Final answer
    x = 13,485.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.