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Finding the Fourth Proportional to 17,678.34, 24,394.44 and 10,507.68

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Solution

The fourth proportional to 17,678.34, 24,394.44 and 10,507.68 is: 14,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.34 : 24,394.44 = 10,507.68 : x
  2. Step 2: Convert to fraction form
    17,678.34/24,394.44 = 10,507.68/x
  3. Step 3: Cross multiply
    17,678.34x = 24,394.44 × 10,507.68
  4. Step 4: Simplify right side
    17,678.34x = 256,328,969.30
  5. Step 5: Solve for x
    x = 256,328,969.30/17,678.34
  6. Step 6: Final answer
    x = 14,499.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.