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Finding the Fourth Proportional to 23,820.81, 32,872.14 and 13,065.83

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Solution

The fourth proportional to 23,820.81, 32,872.14 and 13,065.83 is: 18,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.81 : 32,872.14 = 13,065.83 : x
  2. Step 2: Convert to fraction form
    23,820.81/32,872.14 = 13,065.83/x
  3. Step 3: Cross multiply
    23,820.81x = 32,872.14 × 13,065.83
  4. Step 4: Simplify right side
    23,820.81x = 429,501,628.62
  5. Step 5: Solve for x
    x = 429,501,628.62/23,820.81
  6. Step 6: Final answer
    x = 18,030.52

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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.