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Finding the Fourth Proportional to 17,442.35, 24,069.94 and 9,889.38

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Solution

The fourth proportional to 17,442.35, 24,069.94 and 9,889.38 is: 13,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,442.35 : 24,069.94 = 9,889.38 : x
  2. Step 2: Convert to fraction form
    17,442.35/24,069.94 = 9,889.38/x
  3. Step 3: Cross multiply
    17,442.35x = 24,069.94 × 9,889.38
  4. Step 4: Simplify right side
    17,442.35x = 238,036,758.51
  5. Step 5: Solve for x
    x = 238,036,758.51/17,442.35
  6. Step 6: Final answer
    x = 13,647.06

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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.