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Finding the Fourth Proportional to 25,606.08, 38,382.72 and 9,806.80

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Solution

The fourth proportional to 25,606.08, 38,382.72 and 9,806.80 is: 14,700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,606.08 : 38,382.72 = 9,806.80 : x
  2. Step 2: Convert to fraction form
    25,606.08/38,382.72 = 9,806.80/x
  3. Step 3: Cross multiply
    25,606.08x = 38,382.72 × 9,806.80
  4. Step 4: Simplify right side
    25,606.08x = 376,411,658.50
  5. Step 5: Solve for x
    x = 376,411,658.50/25,606.08
  6. Step 6: Final answer
    x = 14,700.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.