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Finding the Fourth Proportional to 12,032.80, 18,129.45 and 10,864.12

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Solution

The fourth proportional to 12,032.80, 18,129.45 and 10,864.12 is: 16,368.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.80 : 18,129.45 = 10,864.12 : x
  2. Step 2: Convert to fraction form
    12,032.80/18,129.45 = 10,864.12/x
  3. Step 3: Cross multiply
    12,032.80x = 18,129.45 × 10,864.12
  4. Step 4: Simplify right side
    12,032.80x = 196,960,466.01
  5. Step 5: Solve for x
    x = 196,960,466.01/12,032.80
  6. Step 6: Final answer
    x = 16,368.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.