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Finding the Fourth Proportional to 25,312.40, 37,969.20 and 7,782.38

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Solution

The fourth proportional to 25,312.40, 37,969.20 and 7,782.38 is: 11,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,312.40 : 37,969.20 = 7,782.38 : x
  2. Step 2: Convert to fraction form
    25,312.40/37,969.20 = 7,782.38/x
  3. Step 3: Cross multiply
    25,312.40x = 37,969.20 × 7,782.38
  4. Step 4: Simplify right side
    25,312.40x = 295,490,742.70
  5. Step 5: Solve for x
    x = 295,490,742.70/25,312.40
  6. Step 6: Final answer
    x = 11,673.75

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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.