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Finding the Fourth Proportional to 25,603.68, 38,405.34 and 7,135.68

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Solution

The fourth proportional to 25,603.68, 38,405.34 and 7,135.68 is: 10,703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,603.68 : 38,405.34 = 7,135.68 : x
  2. Step 2: Convert to fraction form
    25,603.68/38,405.34 = 7,135.68/x
  3. Step 3: Cross multiply
    25,603.68x = 38,405.34 × 7,135.68
  4. Step 4: Simplify right side
    25,603.68x = 274,048,216.53
  5. Step 5: Solve for x
    x = 274,048,216.53/25,603.68
  6. Step 6: Final answer
    x = 10,703.47

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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.