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Finding the Fourth Proportional to 28,082.64, 38,754.05 and 15,507.38

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Solution

The fourth proportional to 28,082.64, 38,754.05 and 15,507.38 is: 21,400.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,082.64 : 38,754.05 = 15,507.38 : x
  2. Step 2: Convert to fraction form
    28,082.64/38,754.05 = 15,507.38/x
  3. Step 3: Cross multiply
    28,082.64x = 38,754.05 × 15,507.38
  4. Step 4: Simplify right side
    28,082.64x = 600,973,779.89
  5. Step 5: Solve for x
    x = 600,973,779.89/28,082.64
  6. Step 6: Final answer
    x = 21,400.19

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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.