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Finding the Fourth Proportional to 25,828.70, 38,731.52 and 7,356.38

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Solution

The fourth proportional to 25,828.70, 38,731.52 and 7,356.38 is: 11,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,828.70 : 38,731.52 = 7,356.38 : x
  2. Step 2: Convert to fraction form
    25,828.70/38,731.52 = 7,356.38/x
  3. Step 3: Cross multiply
    25,828.70x = 38,731.52 × 7,356.38
  4. Step 4: Simplify right side
    25,828.70x = 284,923,779.10
  5. Step 5: Solve for x
    x = 284,923,779.10/25,828.70
  6. Step 6: Final answer
    x = 11,031.29

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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.