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Finding the Fourth Proportional to 17,490.83, 24,137.63 and 9,533.06

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Solution

The fourth proportional to 17,490.83, 24,137.63 and 9,533.06 is: 13,155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,490.83 : 24,137.63 = 9,533.06 : x
  2. Step 2: Convert to fraction form
    17,490.83/24,137.63 = 9,533.06/x
  3. Step 3: Cross multiply
    17,490.83x = 24,137.63 × 9,533.06
  4. Step 4: Simplify right side
    17,490.83x = 230,105,427.38
  5. Step 5: Solve for x
    x = 230,105,427.38/17,490.83
  6. Step 6: Final answer
    x = 13,155.78

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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.