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Finding the Fourth Proportional to 17,384.54, 23,991.68 and 9,831.54

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Solution

The fourth proportional to 17,384.54, 23,991.68 and 9,831.54 is: 13,568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,384.54 : 23,991.68 = 9,831.54 : x
  2. Step 2: Convert to fraction form
    17,384.54/23,991.68 = 9,831.54/x
  3. Step 3: Cross multiply
    17,384.54x = 23,991.68 × 9,831.54
  4. Step 4: Simplify right side
    17,384.54x = 235,875,276.13
  5. Step 5: Solve for x
    x = 235,875,276.13/17,384.54
  6. Step 6: Final answer
    x = 13,568.11

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1.5x scale

Why These Related Problems?

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