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Finding the Fourth Proportional to 14,175.19, 21,232.40 and 11,530.14

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Solution

The fourth proportional to 14,175.19, 21,232.40 and 11,530.14 is: 17,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175.19 : 21,232.40 = 11,530.14 : x
  2. Step 2: Convert to fraction form
    14,175.19/21,232.40 = 11,530.14/x
  3. Step 3: Cross multiply
    14,175.19x = 21,232.40 × 11,530.14
  4. Step 4: Simplify right side
    14,175.19x = 244,812,544.54
  5. Step 5: Solve for x
    x = 244,812,544.54/14,175.19
  6. Step 6: Final answer
    x = 17,270.49

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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.