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Finding the Fourth Proportional to 25,603.50, 38,411.73 and 7,135.50

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Solution

The fourth proportional to 25,603.50, 38,411.73 and 7,135.50 is: 10,705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,603.50 : 38,411.73 = 7,135.50 : x
  2. Step 2: Convert to fraction form
    25,603.50/38,411.73 = 7,135.50/x
  3. Step 3: Cross multiply
    25,603.50x = 38,411.73 × 7,135.50
  4. Step 4: Simplify right side
    25,603.50x = 274,086,899.42
  5. Step 5: Solve for x
    x = 274,086,899.42/25,603.50
  6. Step 6: Final answer
    x = 10,705.06

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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.