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Finding the Fourth Proportional to 25,187.80, 37,849.90 and 13,509.40

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Solution

The fourth proportional to 25,187.80, 37,849.90 and 13,509.40 is: 20,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,187.80 : 37,849.90 = 13,509.40 : x
  2. Step 2: Convert to fraction form
    25,187.80/37,849.90 = 13,509.40/x
  3. Step 3: Cross multiply
    25,187.80x = 37,849.90 × 13,509.40
  4. Step 4: Simplify right side
    25,187.80x = 511,329,439.06
  5. Step 5: Solve for x
    x = 511,329,439.06/25,187.80
  6. Step 6: Final answer
    x = 20,300.68

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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.