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Finding the Fourth Proportional to 12,304.65, 18,455.52 and 3,420.66

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Solution

The fourth proportional to 12,304.65, 18,455.52 and 3,420.66 is: 5,130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.65 : 18,455.52 = 3,420.66 : x
  2. Step 2: Convert to fraction form
    12,304.65/18,455.52 = 3,420.66/x
  3. Step 3: Cross multiply
    12,304.65x = 18,455.52 × 3,420.66
  4. Step 4: Simplify right side
    12,304.65x = 63,130,059.04
  5. Step 5: Solve for x
    x = 63,130,059.04/12,304.65
  6. Step 6: Final answer
    x = 5,130.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.