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Finding the Fourth Proportional to 25,403.25, 38,105.61 and 6,935.25

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Solution

The fourth proportional to 25,403.25, 38,105.61 and 6,935.25 is: 10,403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,403.25 : 38,105.61 = 6,935.25 : x
  2. Step 2: Convert to fraction form
    25,403.25/38,105.61 = 6,935.25/x
  3. Step 3: Cross multiply
    25,403.25x = 38,105.61 × 6,935.25
  4. Step 4: Simplify right side
    25,403.25x = 264,271,931.75
  5. Step 5: Solve for x
    x = 264,271,931.75/25,403.25
  6. Step 6: Final answer
    x = 10,403.08

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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.