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Finding the Fourth Proportional to 22,256.64, 30,729.60 and 14,709.60

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Solution

The fourth proportional to 22,256.64, 30,729.60 and 14,709.60 is: 20,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,256.64 : 30,729.60 = 14,709.60 : x
  2. Step 2: Convert to fraction form
    22,256.64/30,729.60 = 14,709.60/x
  3. Step 3: Cross multiply
    22,256.64x = 30,729.60 × 14,709.60
  4. Step 4: Simplify right side
    22,256.64x = 452,020,124.16
  5. Step 5: Solve for x
    x = 452,020,124.16/22,256.64
  6. Step 6: Final answer
    x = 20,309.45

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