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Finding the Fourth Proportional to 12,042.59, 16,614.75 and 7,005.74

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Solution

The fourth proportional to 12,042.59, 16,614.75 and 7,005.74 is: 9,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.59 : 16,614.75 = 7,005.74 : x
  2. Step 2: Convert to fraction form
    12,042.59/16,614.75 = 7,005.74/x
  3. Step 3: Cross multiply
    12,042.59x = 16,614.75 × 7,005.74
  4. Step 4: Simplify right side
    12,042.59x = 116,398,596.21
  5. Step 5: Solve for x
    x = 116,398,596.21/12,042.59
  6. Step 6: Final answer
    x = 9,665.58

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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.