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Finding the Fourth Proportional to 12,609.94, 17,408.71 and 7,575.40

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Solution

The fourth proportional to 12,609.94, 17,408.71 and 7,575.40 is: 10,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.94 : 17,408.71 = 7,575.40 : x
  2. Step 2: Convert to fraction form
    12,609.94/17,408.71 = 7,575.40/x
  3. Step 3: Cross multiply
    12,609.94x = 17,408.71 × 7,575.40
  4. Step 4: Simplify right side
    12,609.94x = 131,877,913.35
  5. Step 5: Solve for x
    x = 131,877,913.35/12,609.94
  6. Step 6: Final answer
    x = 10,458.25

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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.