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Finding the Fourth Proportional to 12,038.25, 16,615.08 and 8,066.29

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Solution

The fourth proportional to 12,038.25, 16,615.08 and 8,066.29 is: 11,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.25 : 16,615.08 = 8,066.29 : x
  2. Step 2: Convert to fraction form
    12,038.25/16,615.08 = 8,066.29/x
  3. Step 3: Cross multiply
    12,038.25x = 16,615.08 × 8,066.29
  4. Step 4: Simplify right side
    12,038.25x = 134,022,053.65
  5. Step 5: Solve for x
    x = 134,022,053.65/12,038.25
  6. Step 6: Final answer
    x = 11,133.02

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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.