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Finding the Fourth Proportional to 25,193.67, 37,784.42 and 7,419.50

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Solution

The fourth proportional to 25,193.67, 37,784.42 and 7,419.50 is: 11,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,193.67 : 37,784.42 = 7,419.50 : x
  2. Step 2: Convert to fraction form
    25,193.67/37,784.42 = 7,419.50/x
  3. Step 3: Cross multiply
    25,193.67x = 37,784.42 × 7,419.50
  4. Step 4: Simplify right side
    25,193.67x = 280,341,504.19
  5. Step 5: Solve for x
    x = 280,341,504.19/25,193.67
  6. Step 6: Final answer
    x = 11,127.46

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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.