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Finding the Fourth Proportional to 25,673.40, 38,510.10 and 11,849.40

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Solution

The fourth proportional to 25,673.40, 38,510.10 and 11,849.40 is: 17,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,673.40 : 38,510.10 = 11,849.40 : x
  2. Step 2: Convert to fraction form
    25,673.40/38,510.10 = 11,849.40/x
  3. Step 3: Cross multiply
    25,673.40x = 38,510.10 × 11,849.40
  4. Step 4: Simplify right side
    25,673.40x = 456,321,578.94
  5. Step 5: Solve for x
    x = 456,321,578.94/25,673.40
  6. Step 6: Final answer
    x = 17,774.10

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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.