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Finding the Fourth Proportional to 17,905.86, 24,710.64 and 9,948.72

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Solution

The fourth proportional to 17,905.86, 24,710.64 and 9,948.72 is: 13,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,905.86 : 24,710.64 = 9,948.72 : x
  2. Step 2: Convert to fraction form
    17,905.86/24,710.64 = 9,948.72/x
  3. Step 3: Cross multiply
    17,905.86x = 24,710.64 × 9,948.72
  4. Step 4: Simplify right side
    17,905.86x = 245,839,238.38
  5. Step 5: Solve for x
    x = 245,839,238.38/17,905.86
  6. Step 6: Final answer
    x = 13,729.54

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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.