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Finding the Fourth Proportional to 17,038.23, 23,514.75 and 9,964.50

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Solution

The fourth proportional to 17,038.23, 23,514.75 and 9,964.50 is: 13,752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038.23 : 23,514.75 = 9,964.50 : x
  2. Step 2: Convert to fraction form
    17,038.23/23,514.75 = 9,964.50/x
  3. Step 3: Cross multiply
    17,038.23x = 23,514.75 × 9,964.50
  4. Step 4: Simplify right side
    17,038.23x = 234,312,726.38
  5. Step 5: Solve for x
    x = 234,312,726.38/17,038.23
  6. Step 6: Final answer
    x = 13,752.18

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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.