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Finding the Fourth Proportional to 14,434.16, 19,918.20 and 8,145.68

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Solution

The fourth proportional to 14,434.16, 19,918.20 and 8,145.68 is: 11,240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.16 : 19,918.20 = 8,145.68 : x
  2. Step 2: Convert to fraction form
    14,434.16/19,918.20 = 8,145.68/x
  3. Step 3: Cross multiply
    14,434.16x = 19,918.20 × 8,145.68
  4. Step 4: Simplify right side
    14,434.16x = 162,247,283.38
  5. Step 5: Solve for x
    x = 162,247,283.38/14,434.16
  6. Step 6: Final answer
    x = 11,240.51

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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.