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Finding the Fourth Proportional to 12,046.40, 16,623.28 and 6,740.32

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Solution

The fourth proportional to 12,046.40, 16,623.28 and 6,740.32 is: 9,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.40 : 16,623.28 = 6,740.32 : x
  2. Step 2: Convert to fraction form
    12,046.40/16,623.28 = 6,740.32/x
  3. Step 3: Cross multiply
    12,046.40x = 16,623.28 × 6,740.32
  4. Step 4: Simplify right side
    12,046.40x = 112,046,226.65
  5. Step 5: Solve for x
    x = 112,046,226.65/12,046.40
  6. Step 6: Final answer
    x = 9,301.22

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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.