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Finding the Fourth Proportional to 12,133.68, 16,746.09 and 6,829.53

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Solution

The fourth proportional to 12,133.68, 16,746.09 and 6,829.53 is: 9,425.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.68 : 16,746.09 = 6,829.53 : x
  2. Step 2: Convert to fraction form
    12,133.68/16,746.09 = 6,829.53/x
  3. Step 3: Cross multiply
    12,133.68x = 16,746.09 × 6,829.53
  4. Step 4: Simplify right side
    12,133.68x = 114,367,924.04
  5. Step 5: Solve for x
    x = 114,367,924.04/12,133.68
  6. Step 6: Final answer
    x = 9,425.66

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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.