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Finding the Fourth Proportional to 25,500.69, 38,245.23 and 9,700.08

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Solution

The fourth proportional to 25,500.69, 38,245.23 and 9,700.08 is: 14,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,500.69 : 38,245.23 = 9,700.08 : x
  2. Step 2: Convert to fraction form
    25,500.69/38,245.23 = 9,700.08/x
  3. Step 3: Cross multiply
    25,500.69x = 38,245.23 × 9,700.08
  4. Step 4: Simplify right side
    25,500.69x = 370,981,599.39
  5. Step 5: Solve for x
    x = 370,981,599.39/25,500.69
  6. Step 6: Final answer
    x = 14,547.90

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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.