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Finding the Fourth Proportional to 28,507.32, 42,770.34 and 13,714.29

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Solution

The fourth proportional to 28,507.32, 42,770.34 and 13,714.29 is: 20,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,507.32 : 42,770.34 = 13,714.29 : x
  2. Step 2: Convert to fraction form
    28,507.32/42,770.34 = 13,714.29/x
  3. Step 3: Cross multiply
    28,507.32x = 42,770.34 × 13,714.29
  4. Step 4: Simplify right side
    28,507.32x = 586,564,846.16
  5. Step 5: Solve for x
    x = 586,564,846.16/28,507.32
  6. Step 6: Final answer
    x = 20,575.94

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