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Finding the Fourth Proportional to 17,201.19, 23,734.71 and 9,646.32

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Solution

The fourth proportional to 17,201.19, 23,734.71 and 9,646.32 is: 13,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.19 : 23,734.71 = 9,646.32 : x
  2. Step 2: Convert to fraction form
    17,201.19/23,734.71 = 9,646.32/x
  3. Step 3: Cross multiply
    17,201.19x = 23,734.71 × 9,646.32
  4. Step 4: Simplify right side
    17,201.19x = 228,952,607.77
  5. Step 5: Solve for x
    x = 228,952,607.77/17,201.19
  6. Step 6: Final answer
    x = 13,310.28

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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.