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Finding the Fourth Proportional to 25,005.65, 37,496.93 and 9,206.71

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Solution

The fourth proportional to 25,005.65, 37,496.93 and 9,206.71 is: 13,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,005.65 : 37,496.93 = 9,206.71 : x
  2. Step 2: Convert to fraction form
    25,005.65/37,496.93 = 9,206.71/x
  3. Step 3: Cross multiply
    25,005.65x = 37,496.93 × 9,206.71
  4. Step 4: Simplify right side
    25,005.65x = 345,223,337.38
  5. Step 5: Solve for x
    x = 345,223,337.38/25,005.65
  6. Step 6: Final answer
    x = 13,805.81

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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.