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Finding the Fourth Proportional to 25,675.79, 38,513.07 and 6,700.12

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Solution

The fourth proportional to 25,675.79, 38,513.07 and 6,700.12 is: 10,050.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,675.79 : 38,513.07 = 6,700.12 : x
  2. Step 2: Convert to fraction form
    25,675.79/38,513.07 = 6,700.12/x
  3. Step 3: Cross multiply
    25,675.79x = 38,513.07 × 6,700.12
  4. Step 4: Simplify right side
    25,675.79x = 258,042,094.29
  5. Step 5: Solve for x
    x = 258,042,094.29/25,675.79
  6. Step 6: Final answer
    x = 10,050.02

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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.