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Finding the Fourth Proportional to 17,023, 23,491.78 and 9,953.32

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Solution

The fourth proportional to 17,023, 23,491.78 and 9,953.32 is: 13,735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023 : 23,491.78 = 9,953.32 : x
  2. Step 2: Convert to fraction form
    17,023/23,491.78 = 9,953.32/x
  3. Step 3: Cross multiply
    17,023x = 23,491.78 × 9,953.32
  4. Step 4: Simplify right side
    17,023x = 233,821,203.71
  5. Step 5: Solve for x
    x = 233,821,203.71/17,023
  6. Step 6: Final answer
    x = 13,735.60

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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.