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Finding the Fourth Proportional to 12,046.64, 16,624.35 and 6,741.47

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Solution

The fourth proportional to 12,046.64, 16,624.35 and 6,741.47 is: 9,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.64 : 16,624.35 = 6,741.47 : x
  2. Step 2: Convert to fraction form
    12,046.64/16,624.35 = 6,741.47/x
  3. Step 3: Cross multiply
    12,046.64x = 16,624.35 × 6,741.47
  4. Step 4: Simplify right side
    12,046.64x = 112,072,556.79
  5. Step 5: Solve for x
    x = 112,072,556.79/12,046.64
  6. Step 6: Final answer
    x = 9,303.22

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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.