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Finding the Fourth Proportional to 21,543.84, 32,319 and 6,749.46

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Solution

The fourth proportional to 21,543.84, 32,319 and 6,749.46 is: 10,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543.84 : 32,319 = 6,749.46 : x
  2. Step 2: Convert to fraction form
    21,543.84/32,319 = 6,749.46/x
  3. Step 3: Cross multiply
    21,543.84x = 32,319 × 6,749.46
  4. Step 4: Simplify right side
    21,543.84x = 218,135,797.74
  5. Step 5: Solve for x
    x = 218,135,797.74/21,543.84
  6. Step 6: Final answer
    x = 10,125.21

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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.