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Finding the Fourth Proportional to 12,182.38, 16,812.08 and 7,465.74

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Solution

The fourth proportional to 12,182.38, 16,812.08 and 7,465.74 is: 10,302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.38 : 16,812.08 = 7,465.74 : x
  2. Step 2: Convert to fraction form
    12,182.38/16,812.08 = 7,465.74/x
  3. Step 3: Cross multiply
    12,182.38x = 16,812.08 × 7,465.74
  4. Step 4: Simplify right side
    12,182.38x = 125,514,618.14
  5. Step 5: Solve for x
    x = 125,514,618.14/12,182.38
  6. Step 6: Final answer
    x = 10,302.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.