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Finding the Fourth Proportional to 17,209.64, 23,746.48 and 10,135.10

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Solution

The fourth proportional to 17,209.64, 23,746.48 and 10,135.10 is: 13,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.64 : 23,746.48 = 10,135.10 : x
  2. Step 2: Convert to fraction form
    17,209.64/23,746.48 = 10,135.10/x
  3. Step 3: Cross multiply
    17,209.64x = 23,746.48 × 10,135.10
  4. Step 4: Simplify right side
    17,209.64x = 240,672,805.38
  5. Step 5: Solve for x
    x = 240,672,805.38/17,209.64
  6. Step 6: Final answer
    x = 13,984.77

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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.