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Finding the Fourth Proportional to 15,704.80, 21,672.48 and 8,534.64

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Solution

The fourth proportional to 15,704.80, 21,672.48 and 8,534.64 is: 11,777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.80 : 21,672.48 = 8,534.64 : x
  2. Step 2: Convert to fraction form
    15,704.80/21,672.48 = 8,534.64/x
  3. Step 3: Cross multiply
    15,704.80x = 21,672.48 × 8,534.64
  4. Step 4: Simplify right side
    15,704.80x = 184,966,814.71
  5. Step 5: Solve for x
    x = 184,966,814.71/15,704.80
  6. Step 6: Final answer
    x = 11,777.72

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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.