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Finding the Fourth Proportional to 12,408.85, 17,117.80 and 7,684.93

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Solution

The fourth proportional to 12,408.85, 17,117.80 and 7,684.93 is: 10,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.85 : 17,117.80 = 7,684.93 : x
  2. Step 2: Convert to fraction form
    12,408.85/17,117.80 = 7,684.93/x
  3. Step 3: Cross multiply
    12,408.85x = 17,117.80 × 7,684.93
  4. Step 4: Simplify right side
    12,408.85x = 131,549,094.75
  5. Step 5: Solve for x
    x = 131,549,094.75/12,408.85
  6. Step 6: Final answer
    x = 10,601.23

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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.