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Finding the Fourth Proportional to 12,304.26, 18,461.79 and 6,459.51

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Solution

The fourth proportional to 12,304.26, 18,461.79 and 6,459.51 is: 9,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.26 : 18,461.79 = 6,459.51 : x
  2. Step 2: Convert to fraction form
    12,304.26/18,461.79 = 6,459.51/x
  3. Step 3: Cross multiply
    12,304.26x = 18,461.79 × 6,459.51
  4. Step 4: Simplify right side
    12,304.26x = 119,254,117.12
  5. Step 5: Solve for x
    x = 119,254,117.12/12,304.26
  6. Step 6: Final answer
    x = 9,692.10

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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.