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Finding the Fourth Proportional to 23,820.96, 32,873.54 and 13,066.30

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Solution

The fourth proportional to 23,820.96, 32,873.54 and 13,066.30 is: 18,031.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.96 : 32,873.54 = 13,066.30 : x
  2. Step 2: Convert to fraction form
    23,820.96/32,873.54 = 13,066.30/x
  3. Step 3: Cross multiply
    23,820.96x = 32,873.54 × 13,066.30
  4. Step 4: Simplify right side
    23,820.96x = 429,535,570.89
  5. Step 5: Solve for x
    x = 429,535,570.89/23,820.96
  6. Step 6: Final answer
    x = 18,031.83

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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.