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Finding the Fourth Proportional to 15,735.86, 21,714.64 and 9,021.16

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Solution

The fourth proportional to 15,735.86, 21,714.64 and 9,021.16 is: 12,448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.86 : 21,714.64 = 9,021.16 : x
  2. Step 2: Convert to fraction form
    15,735.86/21,714.64 = 9,021.16/x
  3. Step 3: Cross multiply
    15,735.86x = 21,714.64 × 9,021.16
  4. Step 4: Simplify right side
    15,735.86x = 195,891,241.78
  5. Step 5: Solve for x
    x = 195,891,241.78/15,735.86
  6. Step 6: Final answer
    x = 12,448.72

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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.