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Finding the Fourth Proportional to 23,586.38, 32,549.80 and 12,831.86

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Solution

The fourth proportional to 23,586.38, 32,549.80 and 12,831.86 is: 17,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,586.38 : 32,549.80 = 12,831.86 : x
  2. Step 2: Convert to fraction form
    23,586.38/32,549.80 = 12,831.86/x
  3. Step 3: Cross multiply
    23,586.38x = 32,549.80 × 12,831.86
  4. Step 4: Simplify right side
    23,586.38x = 417,674,281.80
  5. Step 5: Solve for x
    x = 417,674,281.80/23,586.38
  6. Step 6: Final answer
    x = 17,708.28

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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.