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Finding the Fourth Proportional to 14,146.45, 19,514.01 and 9,032.29

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Solution

The fourth proportional to 14,146.45, 19,514.01 and 9,032.29 is: 12,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.45 : 19,514.01 = 9,032.29 : x
  2. Step 2: Convert to fraction form
    14,146.45/19,514.01 = 9,032.29/x
  3. Step 3: Cross multiply
    14,146.45x = 19,514.01 × 9,032.29
  4. Step 4: Simplify right side
    14,146.45x = 176,256,197.38
  5. Step 5: Solve for x
    x = 176,256,197.38/14,146.45
  6. Step 6: Final answer
    x = 12,459.39

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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.