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Finding the Fourth Proportional to 25,182.57, 37,779.29 and 7,653.81

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Solution

The fourth proportional to 25,182.57, 37,779.29 and 7,653.81 is: 11,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,182.57 : 37,779.29 = 7,653.81 : x
  2. Step 2: Convert to fraction form
    25,182.57/37,779.29 = 7,653.81/x
  3. Step 3: Cross multiply
    25,182.57x = 37,779.29 × 7,653.81
  4. Step 4: Simplify right side
    25,182.57x = 289,155,469.33
  5. Step 5: Solve for x
    x = 289,155,469.33/25,182.57
  6. Step 6: Final answer
    x = 11,482.37

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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.