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Finding the Fourth Proportional to 21,409.28, 32,124.16 and 7,564.80

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Solution

The fourth proportional to 21,409.28, 32,124.16 and 7,564.80 is: 11,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.28 : 32,124.16 = 7,564.80 : x
  2. Step 2: Convert to fraction form
    21,409.28/32,124.16 = 7,564.80/x
  3. Step 3: Cross multiply
    21,409.28x = 32,124.16 × 7,564.80
  4. Step 4: Simplify right side
    21,409.28x = 243,012,845.57
  5. Step 5: Solve for x
    x = 243,012,845.57/21,409.28
  6. Step 6: Final answer
    x = 11,350.82

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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.