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Finding the Fourth Proportional to 12,135.96, 16,746.26 and 6,830.64

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Solution

The fourth proportional to 12,135.96, 16,746.26 and 6,830.64 is: 9,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.96 : 16,746.26 = 6,830.64 : x
  2. Step 2: Convert to fraction form
    12,135.96/16,746.26 = 6,830.64/x
  3. Step 3: Cross multiply
    12,135.96x = 16,746.26 × 6,830.64
  4. Step 4: Simplify right side
    12,135.96x = 114,387,639.25
  5. Step 5: Solve for x
    x = 114,387,639.25/12,135.96
  6. Step 6: Final answer
    x = 9,425.51

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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.