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Finding the Fourth Proportional to 21,237, 31,888.38 and 11,395.50

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Solution

The fourth proportional to 21,237, 31,888.38 and 11,395.50 is: 17,110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,237 : 31,888.38 = 11,395.50 : x
  2. Step 2: Convert to fraction form
    21,237/31,888.38 = 11,395.50/x
  3. Step 3: Cross multiply
    21,237x = 31,888.38 × 11,395.50
  4. Step 4: Simplify right side
    21,237x = 363,384,034.29
  5. Step 5: Solve for x
    x = 363,384,034.29/21,237
  6. Step 6: Final answer
    x = 17,110.89

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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.