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Finding the Fourth Proportional to 28,304.64, 42,438.96 and 13,505.76

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Solution

The fourth proportional to 28,304.64, 42,438.96 and 13,505.76 is: 20,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,304.64 : 42,438.96 = 13,505.76 : x
  2. Step 2: Convert to fraction form
    28,304.64/42,438.96 = 13,505.76/x
  3. Step 3: Cross multiply
    28,304.64x = 42,438.96 × 13,505.76
  4. Step 4: Simplify right side
    28,304.64x = 573,170,408.41
  5. Step 5: Solve for x
    x = 573,170,408.41/28,304.64
  6. Step 6: Final answer
    x = 20,250.05

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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.