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Finding the Fourth Proportional to 11,574.65, 17,343.74 and 8,948.57

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Solution

The fourth proportional to 11,574.65, 17,343.74 and 8,948.57 is: 13,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.65 : 17,343.74 = 8,948.57 : x
  2. Step 2: Convert to fraction form
    11,574.65/17,343.74 = 8,948.57/x
  3. Step 3: Cross multiply
    11,574.65x = 17,343.74 × 8,948.57
  4. Step 4: Simplify right side
    11,574.65x = 155,201,607.10
  5. Step 5: Solve for x
    x = 155,201,607.10/11,574.65
  6. Step 6: Final answer
    x = 13,408.75

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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.