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Finding the Fourth Proportional to 15,704.90, 21,672.66 and 8,534.78

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Solution

The fourth proportional to 15,704.90, 21,672.66 and 8,534.78 is: 11,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.90 : 21,672.66 = 8,534.78 : x
  2. Step 2: Convert to fraction form
    15,704.90/21,672.66 = 8,534.78/x
  3. Step 3: Cross multiply
    15,704.90x = 21,672.66 × 8,534.78
  4. Step 4: Simplify right side
    15,704.90x = 184,971,385.11
  5. Step 5: Solve for x
    x = 184,971,385.11/15,704.90
  6. Step 6: Final answer
    x = 11,777.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.