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Finding the Fourth Proportional to 12,847.18, 17,722.74 and 10,009.48

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Solution

The fourth proportional to 12,847.18, 17,722.74 and 10,009.48 is: 13,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.18 : 17,722.74 = 10,009.48 : x
  2. Step 2: Convert to fraction form
    12,847.18/17,722.74 = 10,009.48/x
  3. Step 3: Cross multiply
    12,847.18x = 17,722.74 × 10,009.48
  4. Step 4: Simplify right side
    12,847.18x = 177,395,411.58
  5. Step 5: Solve for x
    x = 177,395,411.58/12,847.18
  6. Step 6: Final answer
    x = 13,808.12

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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.