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Finding the Fourth Proportional to 13,025.12, 17,974.63 and 7,056.93

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Solution

The fourth proportional to 13,025.12, 17,974.63 and 7,056.93 is: 9,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.12 : 17,974.63 = 7,056.93 : x
  2. Step 2: Convert to fraction form
    13,025.12/17,974.63 = 7,056.93/x
  3. Step 3: Cross multiply
    13,025.12x = 17,974.63 × 7,056.93
  4. Step 4: Simplify right side
    13,025.12x = 126,845,705.69
  5. Step 5: Solve for x
    x = 126,845,705.69/13,025.12
  6. Step 6: Final answer
    x = 9,738.55

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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.