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Finding the Fourth Proportional to 25,227.01, 37,845.47 and 7,457.95

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Solution

The fourth proportional to 25,227.01, 37,845.47 and 7,457.95 is: 11,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,227.01 : 37,845.47 = 7,457.95 : x
  2. Step 2: Convert to fraction form
    25,227.01/37,845.47 = 7,457.95/x
  3. Step 3: Cross multiply
    25,227.01x = 37,845.47 × 7,457.95
  4. Step 4: Simplify right side
    25,227.01x = 282,249,622.99
  5. Step 5: Solve for x
    x = 282,249,622.99/25,227.01
  6. Step 6: Final answer
    x = 11,188.39

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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.