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Finding the Fourth Proportional to 14,561.67, 20,101.40 and 9,188.94

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Solution

The fourth proportional to 14,561.67, 20,101.40 and 9,188.94 is: 12,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.67 : 20,101.40 = 9,188.94 : x
  2. Step 2: Convert to fraction form
    14,561.67/20,101.40 = 9,188.94/x
  3. Step 3: Cross multiply
    14,561.67x = 20,101.40 × 9,188.94
  4. Step 4: Simplify right side
    14,561.67x = 184,710,558.52
  5. Step 5: Solve for x
    x = 184,710,558.52/14,561.67
  6. Step 6: Final answer
    x = 12,684.71

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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.