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Finding the Fourth Proportional to 17,362.64, 23,959.02 and 9,809.63

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Solution

The fourth proportional to 17,362.64, 23,959.02 and 9,809.63 is: 13,536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,362.64 : 23,959.02 = 9,809.63 : x
  2. Step 2: Convert to fraction form
    17,362.64/23,959.02 = 9,809.63/x
  3. Step 3: Cross multiply
    17,362.64x = 23,959.02 × 9,809.63
  4. Step 4: Simplify right side
    17,362.64x = 235,029,001.57
  5. Step 5: Solve for x
    x = 235,029,001.57/17,362.64
  6. Step 6: Final answer
    x = 13,536.48

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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.