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Finding the Fourth Proportional to 17,309.92, 23,887.84 and 9,858.40

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Solution

The fourth proportional to 17,309.92, 23,887.84 and 9,858.40 is: 13,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,309.92 : 23,887.84 = 9,858.40 : x
  2. Step 2: Convert to fraction form
    17,309.92/23,887.84 = 9,858.40/x
  3. Step 3: Cross multiply
    17,309.92x = 23,887.84 × 9,858.40
  4. Step 4: Simplify right side
    17,309.92x = 235,495,881.86
  5. Step 5: Solve for x
    x = 235,495,881.86/17,309.92
  6. Step 6: Final answer
    x = 13,604.68

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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.