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Finding the Fourth Proportional to 17,980.35, 24,813.32 and 10,022.37

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Solution

The fourth proportional to 17,980.35, 24,813.32 and 10,022.37 is: 13,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,980.35 : 24,813.32 = 10,022.37 : x
  2. Step 2: Convert to fraction form
    17,980.35/24,813.32 = 10,022.37/x
  3. Step 3: Cross multiply
    17,980.35x = 24,813.32 × 10,022.37
  4. Step 4: Simplify right side
    17,980.35x = 248,688,223.86
  5. Step 5: Solve for x
    x = 248,688,223.86/17,980.35
  6. Step 6: Final answer
    x = 13,831.11

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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.