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Finding the Fourth Proportional to 25,294.90, 37,921.74 and 9,491.05

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Solution

The fourth proportional to 25,294.90, 37,921.74 and 9,491.05 is: 14,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.90 : 37,921.74 = 9,491.05 : x
  2. Step 2: Convert to fraction form
    25,294.90/37,921.74 = 9,491.05/x
  3. Step 3: Cross multiply
    25,294.90x = 37,921.74 × 9,491.05
  4. Step 4: Simplify right side
    25,294.90x = 359,917,130.43
  5. Step 5: Solve for x
    x = 359,917,130.43/25,294.90
  6. Step 6: Final answer
    x = 14,228.84

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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.