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Finding the Fourth Proportional to 17,648.50, 24,354.96 and 10,196.50

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Solution

The fourth proportional to 17,648.50, 24,354.96 and 10,196.50 is: 14,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.50 : 24,354.96 = 10,196.50 : x
  2. Step 2: Convert to fraction form
    17,648.50/24,354.96 = 10,196.50/x
  3. Step 3: Cross multiply
    17,648.50x = 24,354.96 × 10,196.50
  4. Step 4: Simplify right side
    17,648.50x = 248,335,349.64
  5. Step 5: Solve for x
    x = 248,335,349.64/17,648.50
  6. Step 6: Final answer
    x = 14,071.19

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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.