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Finding the Fourth Proportional to 21,322.50, 31,918.13 and 13,911

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Solution

The fourth proportional to 21,322.50, 31,918.13 and 13,911 is: 20,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,322.50 : 31,918.13 = 13,911 : x
  2. Step 2: Convert to fraction form
    21,322.50/31,918.13 = 13,911/x
  3. Step 3: Cross multiply
    21,322.50x = 31,918.13 × 13,911
  4. Step 4: Simplify right side
    21,322.50x = 444,013,106.43
  5. Step 5: Solve for x
    x = 444,013,106.43/21,322.50
  6. Step 6: Final answer
    x = 20,823.69

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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.