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Finding the Fourth Proportional to 12,226.50, 16,871.40 and 9,714.69

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Solution

The fourth proportional to 12,226.50, 16,871.40 and 9,714.69 is: 13,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.50 : 16,871.40 = 9,714.69 : x
  2. Step 2: Convert to fraction form
    12,226.50/16,871.40 = 9,714.69/x
  3. Step 3: Cross multiply
    12,226.50x = 16,871.40 × 9,714.69
  4. Step 4: Simplify right side
    12,226.50x = 163,900,420.87
  5. Step 5: Solve for x
    x = 163,900,420.87/12,226.50
  6. Step 6: Final answer
    x = 13,405.34

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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.