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Finding the Fourth Proportional to 17,011, 23,477.70 and 9,941.32

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Solution

The fourth proportional to 17,011, 23,477.70 and 9,941.32 is: 13,720.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,011 : 23,477.70 = 9,941.32 : x
  2. Step 2: Convert to fraction form
    17,011/23,477.70 = 9,941.32/x
  3. Step 3: Cross multiply
    17,011x = 23,477.70 × 9,941.32
  4. Step 4: Simplify right side
    17,011x = 233,399,328.56
  5. Step 5: Solve for x
    x = 233,399,328.56/17,011
  6. Step 6: Final answer
    x = 13,720.49

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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.