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Finding the Fourth Proportional to 25,138.68, 37,699.92 and 7,603.80

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Solution

The fourth proportional to 25,138.68, 37,699.92 and 7,603.80 is: 11,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,138.68 : 37,699.92 = 7,603.80 : x
  2. Step 2: Convert to fraction form
    25,138.68/37,699.92 = 7,603.80/x
  3. Step 3: Cross multiply
    25,138.68x = 37,699.92 × 7,603.80
  4. Step 4: Simplify right side
    25,138.68x = 286,662,651.70
  5. Step 5: Solve for x
    x = 286,662,651.70/25,138.68
  6. Step 6: Final answer
    x = 11,403.25

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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.