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Finding the Fourth Proportional to 17,514.68, 24,174.32 and 11,547.40

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Solution

The fourth proportional to 17,514.68, 24,174.32 and 11,547.40 is: 15,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,514.68 : 24,174.32 = 11,547.40 : x
  2. Step 2: Convert to fraction form
    17,514.68/24,174.32 = 11,547.40/x
  3. Step 3: Cross multiply
    17,514.68x = 24,174.32 × 11,547.40
  4. Step 4: Simplify right side
    17,514.68x = 279,150,542.77
  5. Step 5: Solve for x
    x = 279,150,542.77/17,514.68
  6. Step 6: Final answer
    x = 15,938.09

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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.