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Finding the Fourth Proportional to 21,829.76, 32,746.08 and 7,988.48

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Solution

The fourth proportional to 21,829.76, 32,746.08 and 7,988.48 is: 11,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.76 : 32,746.08 = 7,988.48 : x
  2. Step 2: Convert to fraction form
    21,829.76/32,746.08 = 7,988.48/x
  3. Step 3: Cross multiply
    21,829.76x = 32,746.08 × 7,988.48
  4. Step 4: Simplify right side
    21,829.76x = 261,591,405.16
  5. Step 5: Solve for x
    x = 261,591,405.16/21,829.76
  6. Step 6: Final answer
    x = 11,983.25

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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.