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Finding the Fourth Proportional to 17,117.70, 23,609.79 and 10,824

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Solution

The fourth proportional to 17,117.70, 23,609.79 and 10,824 is: 14,929.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,117.70 : 23,609.79 = 10,824 : x
  2. Step 2: Convert to fraction form
    17,117.70/23,609.79 = 10,824/x
  3. Step 3: Cross multiply
    17,117.70x = 23,609.79 × 10,824
  4. Step 4: Simplify right side
    17,117.70x = 255,552,366.96
  5. Step 5: Solve for x
    x = 255,552,366.96/17,117.70
  6. Step 6: Final answer
    x = 14,929.13

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1.5x scale

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.