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Finding the Fourth Proportional to 27,904.34, 38,507.82 and 15,329

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Solution

The fourth proportional to 27,904.34, 38,507.82 and 15,329 is: 21,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,904.34 : 38,507.82 = 15,329 : x
  2. Step 2: Convert to fraction form
    27,904.34/38,507.82 = 15,329/x
  3. Step 3: Cross multiply
    27,904.34x = 38,507.82 × 15,329
  4. Step 4: Simplify right side
    27,904.34x = 590,286,372.78
  5. Step 5: Solve for x
    x = 590,286,372.78/27,904.34
  6. Step 6: Final answer
    x = 21,153.93

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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.