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Finding the Fourth Proportional to 21,704.54, 32,548.29 and 7,661.57

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Solution

The fourth proportional to 21,704.54, 32,548.29 and 7,661.57 is: 11,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704.54 : 32,548.29 = 7,661.57 : x
  2. Step 2: Convert to fraction form
    21,704.54/32,548.29 = 7,661.57/x
  3. Step 3: Cross multiply
    21,704.54x = 32,548.29 × 7,661.57
  4. Step 4: Simplify right side
    21,704.54x = 249,371,002.22
  5. Step 5: Solve for x
    x = 249,371,002.22/21,704.54
  6. Step 6: Final answer
    x = 11,489.35

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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.