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Finding the Fourth Proportional to 23,798.96, 32,842.08 and 13,188.56

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Solution

The fourth proportional to 23,798.96, 32,842.08 and 13,188.56 is: 18,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798.96 : 32,842.08 = 13,188.56 : x
  2. Step 2: Convert to fraction form
    23,798.96/32,842.08 = 13,188.56/x
  3. Step 3: Cross multiply
    23,798.96x = 32,842.08 × 13,188.56
  4. Step 4: Simplify right side
    23,798.96x = 433,139,742.60
  5. Step 5: Solve for x
    x = 433,139,742.60/23,798.96
  6. Step 6: Final answer
    x = 18,199.94

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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.