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Finding the Fourth Proportional to 25,084.65, 37,629.68 and 8,444.01

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Solution

The fourth proportional to 25,084.65, 37,629.68 and 8,444.01 is: 12,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,084.65 : 37,629.68 = 8,444.01 : x
  2. Step 2: Convert to fraction form
    25,084.65/37,629.68 = 8,444.01/x
  3. Step 3: Cross multiply
    25,084.65x = 37,629.68 × 8,444.01
  4. Step 4: Simplify right side
    25,084.65x = 317,745,352.00
  5. Step 5: Solve for x
    x = 317,745,352.00/25,084.65
  6. Step 6: Final answer
    x = 12,666.92

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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.