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Finding the Fourth Proportional to 17,657.34, 24,345 and 12,933.42

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Solution

The fourth proportional to 17,657.34, 24,345 and 12,933.42 is: 17,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.34 : 24,345 = 12,933.42 : x
  2. Step 2: Convert to fraction form
    17,657.34/24,345 = 12,933.42/x
  3. Step 3: Cross multiply
    17,657.34x = 24,345 × 12,933.42
  4. Step 4: Simplify right side
    17,657.34x = 314,864,109.90
  5. Step 5: Solve for x
    x = 314,864,109.90/17,657.34
  6. Step 6: Final answer
    x = 17,831.91

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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.