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Finding the Fourth Proportional to 26,831.40, 40,247.10 and 13,007.40

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Solution

The fourth proportional to 26,831.40, 40,247.10 and 13,007.40 is: 19,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,831.40 : 40,247.10 = 13,007.40 : x
  2. Step 2: Convert to fraction form
    26,831.40/40,247.10 = 13,007.40/x
  3. Step 3: Cross multiply
    26,831.40x = 40,247.10 × 13,007.40
  4. Step 4: Simplify right side
    26,831.40x = 523,510,128.54
  5. Step 5: Solve for x
    x = 523,510,128.54/26,831.40
  6. Step 6: Final answer
    x = 19,511.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.