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Finding the Fourth Proportional to 17,418.31, 24,037.15 and 9,460.47

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Solution

The fourth proportional to 17,418.31, 24,037.15 and 9,460.47 is: 13,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,418.31 : 24,037.15 = 9,460.47 : x
  2. Step 2: Convert to fraction form
    17,418.31/24,037.15 = 9,460.47/x
  3. Step 3: Cross multiply
    17,418.31x = 24,037.15 × 9,460.47
  4. Step 4: Simplify right side
    17,418.31x = 227,402,736.46
  5. Step 5: Solve for x
    x = 227,402,736.46/17,418.31
  6. Step 6: Final answer
    x = 13,055.38

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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.