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Finding the Fourth Proportional to 28,395.20, 39,185.80 and 15,820

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Solution

The fourth proportional to 28,395.20, 39,185.80 and 15,820 is: 21,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,395.20 : 39,185.80 = 15,820 : x
  2. Step 2: Convert to fraction form
    28,395.20/39,185.80 = 15,820/x
  3. Step 3: Cross multiply
    28,395.20x = 39,185.80 × 15,820
  4. Step 4: Simplify right side
    28,395.20x = 619,919,356
  5. Step 5: Solve for x
    x = 619,919,356/28,395.20
  6. Step 6: Final answer
    x = 21,831.84

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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.