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Finding the Fourth Proportional to 17,555.38, 24,225.69 and 9,597.58

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Solution

The fourth proportional to 17,555.38, 24,225.69 and 9,597.58 is: 13,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,555.38 : 24,225.69 = 9,597.58 : x
  2. Step 2: Convert to fraction form
    17,555.38/24,225.69 = 9,597.58/x
  3. Step 3: Cross multiply
    17,555.38x = 24,225.69 × 9,597.58
  4. Step 4: Simplify right side
    17,555.38x = 232,507,997.83
  5. Step 5: Solve for x
    x = 232,507,997.83/17,555.38
  6. Step 6: Final answer
    x = 13,244.26

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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.