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Finding the Fourth Proportional to 12,835.90, 17,714.85 and 9,253.81

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Solution

The fourth proportional to 12,835.90, 17,714.85 and 9,253.81 is: 12,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.90 : 17,714.85 = 9,253.81 : x
  2. Step 2: Convert to fraction form
    12,835.90/17,714.85 = 9,253.81/x
  3. Step 3: Cross multiply
    12,835.90x = 17,714.85 × 9,253.81
  4. Step 4: Simplify right side
    12,835.90x = 163,929,767.50
  5. Step 5: Solve for x
    x = 163,929,767.50/12,835.90
  6. Step 6: Final answer
    x = 12,771.20

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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.