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Finding the Fourth Proportional to 17,384.85, 23,989.77 and 9,831.45

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Solution

The fourth proportional to 17,384.85, 23,989.77 and 9,831.45 is: 13,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,384.85 : 23,989.77 = 9,831.45 : x
  2. Step 2: Convert to fraction form
    17,384.85/23,989.77 = 9,831.45/x
  3. Step 3: Cross multiply
    17,384.85x = 23,989.77 × 9,831.45
  4. Step 4: Simplify right side
    17,384.85x = 235,854,224.27
  5. Step 5: Solve for x
    x = 235,854,224.27/17,384.85
  6. Step 6: Final answer
    x = 13,566.65

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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.