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Finding the Fourth Proportional to 21,162.14, 31,731.93 and 7,117.50

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Solution

The fourth proportional to 21,162.14, 31,731.93 and 7,117.50 is: 10,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162.14 : 31,731.93 = 7,117.50 : x
  2. Step 2: Convert to fraction form
    21,162.14/31,731.93 = 7,117.50/x
  3. Step 3: Cross multiply
    21,162.14x = 31,731.93 × 7,117.50
  4. Step 4: Simplify right side
    21,162.14x = 225,851,843.01
  5. Step 5: Solve for x
    x = 225,851,843.01/21,162.14
  6. Step 6: Final answer
    x = 10,672.45

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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.