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Finding the Fourth Proportional to 21,841.64, 32,762.46 and 17,438.48

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Solution

The fourth proportional to 21,841.64, 32,762.46 and 17,438.48 is: 26,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841.64 : 32,762.46 = 17,438.48 : x
  2. Step 2: Convert to fraction form
    21,841.64/32,762.46 = 17,438.48/x
  3. Step 3: Cross multiply
    21,841.64x = 32,762.46 × 17,438.48
  4. Step 4: Simplify right side
    21,841.64x = 571,327,503.46
  5. Step 5: Solve for x
    x = 571,327,503.46/21,841.64
  6. Step 6: Final answer
    x = 26,157.72

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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.