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Finding the Fourth Proportional to 21,332.30, 32,004.60 and 6,543.40

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Solution

The fourth proportional to 21,332.30, 32,004.60 and 6,543.40 is: 9,816.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332.30 : 32,004.60 = 6,543.40 : x
  2. Step 2: Convert to fraction form
    21,332.30/32,004.60 = 6,543.40/x
  3. Step 3: Cross multiply
    21,332.30x = 32,004.60 × 6,543.40
  4. Step 4: Simplify right side
    21,332.30x = 209,418,899.64
  5. Step 5: Solve for x
    x = 209,418,899.64/21,332.30
  6. Step 6: Final answer
    x = 9,816.99

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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.