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Finding the Fourth Proportional to 21,567.84, 32,335.76 and 6,768.34

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Solution

The fourth proportional to 21,567.84, 32,335.76 and 6,768.34 is: 10,147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,567.84 : 32,335.76 = 6,768.34 : x
  2. Step 2: Convert to fraction form
    21,567.84/32,335.76 = 6,768.34/x
  3. Step 3: Cross multiply
    21,567.84x = 32,335.76 × 6,768.34
  4. Step 4: Simplify right side
    21,567.84x = 218,859,417.84
  5. Step 5: Solve for x
    x = 218,859,417.84/21,567.84
  6. Step 6: Final answer
    x = 10,147.49

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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.