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Finding the Fourth Proportional to 12,722.02, 17,555.96 and 7,056.74

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Solution

The fourth proportional to 12,722.02, 17,555.96 and 7,056.74 is: 9,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.02 : 17,555.96 = 7,056.74 : x
  2. Step 2: Convert to fraction form
    12,722.02/17,555.96 = 7,056.74/x
  3. Step 3: Cross multiply
    12,722.02x = 17,555.96 × 7,056.74
  4. Step 4: Simplify right side
    12,722.02x = 123,887,845.17
  5. Step 5: Solve for x
    x = 123,887,845.17/12,722.02
  6. Step 6: Final answer
    x = 9,738.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.