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Finding the Fourth Proportional to 17,407.66, 24,023.10 and 10,236.28

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Solution

The fourth proportional to 17,407.66, 24,023.10 and 10,236.28 is: 14,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.66 : 24,023.10 = 10,236.28 : x
  2. Step 2: Convert to fraction form
    17,407.66/24,023.10 = 10,236.28/x
  3. Step 3: Cross multiply
    17,407.66x = 24,023.10 × 10,236.28
  4. Step 4: Simplify right side
    17,407.66x = 245,907,178.07
  5. Step 5: Solve for x
    x = 245,907,178.07/17,407.66
  6. Step 6: Final answer
    x = 14,126.38

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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.