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Finding the Fourth Proportional to 21,021.50, 31,537.86 and 7,875.20

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Solution

The fourth proportional to 21,021.50, 31,537.86 and 7,875.20 is: 11,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,021.50 : 31,537.86 = 7,875.20 : x
  2. Step 2: Convert to fraction form
    21,021.50/31,537.86 = 7,875.20/x
  3. Step 3: Cross multiply
    21,021.50x = 31,537.86 × 7,875.20
  4. Step 4: Simplify right side
    21,021.50x = 248,366,955.07
  5. Step 5: Solve for x
    x = 248,366,955.07/21,021.50
  6. Step 6: Final answer
    x = 11,814.90

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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.