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Finding the Fourth Proportional to 27,431.58, 37,856.40 and 15,333

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Solution

The fourth proportional to 27,431.58, 37,856.40 and 15,333 is: 21,160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.58 : 37,856.40 = 15,333 : x
  2. Step 2: Convert to fraction form
    27,431.58/37,856.40 = 15,333/x
  3. Step 3: Cross multiply
    27,431.58x = 37,856.40 × 15,333
  4. Step 4: Simplify right side
    27,431.58x = 580,452,181.20
  5. Step 5: Solve for x
    x = 580,452,181.20/27,431.58
  6. Step 6: Final answer
    x = 21,160.00

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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.