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Finding the Fourth Proportional to 25,302.87, 37,958.40 and 9,509.13

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Solution

The fourth proportional to 25,302.87, 37,958.40 and 9,509.13 is: 14,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,302.87 : 37,958.40 = 9,509.13 : x
  2. Step 2: Convert to fraction form
    25,302.87/37,958.40 = 9,509.13/x
  3. Step 3: Cross multiply
    25,302.87x = 37,958.40 × 9,509.13
  4. Step 4: Simplify right side
    25,302.87x = 360,951,360.19
  5. Step 5: Solve for x
    x = 360,951,360.19/25,302.87
  6. Step 6: Final answer
    x = 14,265.23

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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.