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Finding the Fourth Proportional to 25,285.25, 37,931.97 and 9,491.51

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Solution

The fourth proportional to 25,285.25, 37,931.97 and 9,491.51 is: 14,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,285.25 : 37,931.97 = 9,491.51 : x
  2. Step 2: Convert to fraction form
    25,285.25/37,931.97 = 9,491.51/x
  3. Step 3: Cross multiply
    25,285.25x = 37,931.97 × 9,491.51
  4. Step 4: Simplify right side
    25,285.25x = 360,031,482.91
  5. Step 5: Solve for x
    x = 360,031,482.91/25,285.25
  6. Step 6: Final answer
    x = 14,238.80

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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.