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Finding the Fourth Proportional to 19,701.41, 29,554.81 and 7,218.50

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Solution

The fourth proportional to 19,701.41, 29,554.81 and 7,218.50 is: 10,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701.41 : 29,554.81 = 7,218.50 : x
  2. Step 2: Convert to fraction form
    19,701.41/29,554.81 = 7,218.50/x
  3. Step 3: Cross multiply
    19,701.41x = 29,554.81 × 7,218.50
  4. Step 4: Simplify right side
    19,701.41x = 213,341,230.16
  5. Step 5: Solve for x
    x = 213,341,230.16/19,701.41
  6. Step 6: Final answer
    x = 10,828.73

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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.