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Finding the Fourth Proportional to 17,109.10, 25,663.65 and 9,736.30

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Solution

The fourth proportional to 17,109.10, 25,663.65 and 9,736.30 is: 14,604.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,109.10 : 25,663.65 = 9,736.30 : x
  2. Step 2: Convert to fraction form
    17,109.10/25,663.65 = 9,736.30/x
  3. Step 3: Cross multiply
    17,109.10x = 25,663.65 × 9,736.30
  4. Step 4: Simplify right side
    17,109.10x = 249,868,995.50
  5. Step 5: Solve for x
    x = 249,868,995.50/17,109.10
  6. Step 6: Final answer
    x = 14,604.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.