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Finding the Fourth Proportional to 12,594.96, 17,361.03 and 10,574.38

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Solution

The fourth proportional to 12,594.96, 17,361.03 and 10,574.38 is: 14,575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.96 : 17,361.03 = 10,574.38 : x
  2. Step 2: Convert to fraction form
    12,594.96/17,361.03 = 10,574.38/x
  3. Step 3: Cross multiply
    12,594.96x = 17,361.03 × 10,574.38
  4. Step 4: Simplify right side
    12,594.96x = 183,582,189.77
  5. Step 5: Solve for x
    x = 183,582,189.77/12,594.96
  6. Step 6: Final answer
    x = 14,575.85

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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.