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Finding the Fourth Proportional to 12,182.63, 16,812.43 and 7,466.00

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Solution

The fourth proportional to 12,182.63, 16,812.43 and 7,466.00 is: 10,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.63 : 16,812.43 = 7,466.00 : x
  2. Step 2: Convert to fraction form
    12,182.63/16,812.43 = 7,466.00/x
  3. Step 3: Cross multiply
    12,182.63x = 16,812.43 × 7,466.00
  4. Step 4: Simplify right side
    12,182.63x = 125,521,499.65
  5. Step 5: Solve for x
    x = 125,521,499.65/12,182.63
  6. Step 6: Final answer
    x = 10,303.32

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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.