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Finding the Fourth Proportional to 12,176.40, 16,804.32 and 6,871.68

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Solution

The fourth proportional to 12,176.40, 16,804.32 and 6,871.68 is: 9,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.40 : 16,804.32 = 6,871.68 : x
  2. Step 2: Convert to fraction form
    12,176.40/16,804.32 = 6,871.68/x
  3. Step 3: Cross multiply
    12,176.40x = 16,804.32 × 6,871.68
  4. Step 4: Simplify right side
    12,176.40x = 115,473,909.66
  5. Step 5: Solve for x
    x = 115,473,909.66/12,176.40
  6. Step 6: Final answer
    x = 9,483.42

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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.