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Finding the Fourth Proportional to 25,358.32, 38,036.56 and 7,828.14

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Solution

The fourth proportional to 25,358.32, 38,036.56 and 7,828.14 is: 11,741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,358.32 : 38,036.56 = 7,828.14 : x
  2. Step 2: Convert to fraction form
    25,358.32/38,036.56 = 7,828.14/x
  3. Step 3: Cross multiply
    25,358.32x = 38,036.56 × 7,828.14
  4. Step 4: Simplify right side
    25,358.32x = 297,755,676.56
  5. Step 5: Solve for x
    x = 297,755,676.56/25,358.32
  6. Step 6: Final answer
    x = 11,741.93

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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.