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Finding the Fourth Proportional to 12,050.35, 16,615.32 and 9,658.41

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Solution

The fourth proportional to 12,050.35, 16,615.32 and 9,658.41 is: 13,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,050.35 : 16,615.32 = 9,658.41 : x
  2. Step 2: Convert to fraction form
    12,050.35/16,615.32 = 9,658.41/x
  3. Step 3: Cross multiply
    12,050.35x = 16,615.32 × 9,658.41
  4. Step 4: Simplify right side
    12,050.35x = 160,477,572.84
  5. Step 5: Solve for x
    x = 160,477,572.84/12,050.35
  6. Step 6: Final answer
    x = 13,317.25

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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.