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Finding the Fourth Proportional to 12,595.62, 17,380.04 and 7,558.74

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Solution

The fourth proportional to 12,595.62, 17,380.04 and 7,558.74 is: 10,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.62 : 17,380.04 = 7,558.74 : x
  2. Step 2: Convert to fraction form
    12,595.62/17,380.04 = 7,558.74/x
  3. Step 3: Cross multiply
    12,595.62x = 17,380.04 × 7,558.74
  4. Step 4: Simplify right side
    12,595.62x = 131,371,165.76
  5. Step 5: Solve for x
    x = 131,371,165.76/12,595.62
  6. Step 6: Final answer
    x = 10,429.91

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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.