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Finding the Fourth Proportional to 14,561.88, 20,096.10 and 8,188.59

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Solution

The fourth proportional to 14,561.88, 20,096.10 and 8,188.59 is: 11,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.88 : 20,096.10 = 8,188.59 : x
  2. Step 2: Convert to fraction form
    14,561.88/20,096.10 = 8,188.59/x
  3. Step 3: Cross multiply
    14,561.88x = 20,096.10 × 8,188.59
  4. Step 4: Simplify right side
    14,561.88x = 164,558,798.86
  5. Step 5: Solve for x
    x = 164,558,798.86/14,561.88
  6. Step 6: Final answer
    x = 11,300.66

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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.