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Finding the Fourth Proportional to 21,709.12, 32,513.04 and 15,851.20

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Solution

The fourth proportional to 21,709.12, 32,513.04 and 15,851.20 is: 23,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.12 : 32,513.04 = 15,851.20 : x
  2. Step 2: Convert to fraction form
    21,709.12/32,513.04 = 15,851.20/x
  3. Step 3: Cross multiply
    21,709.12x = 32,513.04 × 15,851.20
  4. Step 4: Simplify right side
    21,709.12x = 515,370,699.65
  5. Step 5: Solve for x
    x = 515,370,699.65/21,709.12
  6. Step 6: Final answer
    x = 23,739.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.