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Finding the Fourth Proportional to 21,911.20, 32,871.60 and 7,117.60

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Solution

The fourth proportional to 21,911.20, 32,871.60 and 7,117.60 is: 10,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,911.20 : 32,871.60 = 7,117.60 : x
  2. Step 2: Convert to fraction form
    21,911.20/32,871.60 = 7,117.60/x
  3. Step 3: Cross multiply
    21,911.20x = 32,871.60 × 7,117.60
  4. Step 4: Simplify right side
    21,911.20x = 233,966,900.16
  5. Step 5: Solve for x
    x = 233,966,900.16/21,911.20
  6. Step 6: Final answer
    x = 10,677.96

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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.