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Finding the Fourth Proportional to 17,648, 24,354.24 and 10,196

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Solution

The fourth proportional to 17,648, 24,354.24 and 10,196 is: 14,070.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648 : 24,354.24 = 10,196 : x
  2. Step 2: Convert to fraction form
    17,648/24,354.24 = 10,196/x
  3. Step 3: Cross multiply
    17,648x = 24,354.24 × 10,196
  4. Step 4: Simplify right side
    17,648x = 248,315,831.04
  5. Step 5: Solve for x
    x = 248,315,831.04/17,648
  6. Step 6: Final answer
    x = 14,070.48

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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.