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Finding the Fourth Proportional to 21,572, 32,358 and 5,989.64

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Solution

The fourth proportional to 21,572, 32,358 and 5,989.64 is: 8,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,572 : 32,358 = 5,989.64 : x
  2. Step 2: Convert to fraction form
    21,572/32,358 = 5,989.64/x
  3. Step 3: Cross multiply
    21,572x = 32,358 × 5,989.64
  4. Step 4: Simplify right side
    21,572x = 193,812,771.12
  5. Step 5: Solve for x
    x = 193,812,771.12/21,572
  6. Step 6: Final answer
    x = 8,984.46

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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.