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Finding the Fourth Proportional to 27,604.56, 38,095.20 and 15,507.16

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Solution

The fourth proportional to 27,604.56, 38,095.20 and 15,507.16 is: 21,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,604.56 : 38,095.20 = 15,507.16 : x
  2. Step 2: Convert to fraction form
    27,604.56/38,095.20 = 15,507.16/x
  3. Step 3: Cross multiply
    27,604.56x = 38,095.20 × 15,507.16
  4. Step 4: Simplify right side
    27,604.56x = 590,748,361.63
  5. Step 5: Solve for x
    x = 590,748,361.63/27,604.56
  6. Step 6: Final answer
    x = 21,400.39

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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.