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Finding the Fourth Proportional to 17,164.60, 23,686.74 and 9,712.60

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Solution

The fourth proportional to 17,164.60, 23,686.74 and 9,712.60 is: 13,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.60 : 23,686.74 = 9,712.60 : x
  2. Step 2: Convert to fraction form
    17,164.60/23,686.74 = 9,712.60/x
  3. Step 3: Cross multiply
    17,164.60x = 23,686.74 × 9,712.60
  4. Step 4: Simplify right side
    17,164.60x = 230,059,830.92
  5. Step 5: Solve for x
    x = 230,059,830.92/17,164.60
  6. Step 6: Final answer
    x = 13,403.16

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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.