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Finding the Fourth Proportional to 25,193.57, 37,788.95 and 7,662.02

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Solution

The fourth proportional to 25,193.57, 37,788.95 and 7,662.02 is: 11,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,193.57 : 37,788.95 = 7,662.02 : x
  2. Step 2: Convert to fraction form
    25,193.57/37,788.95 = 7,662.02/x
  3. Step 3: Cross multiply
    25,193.57x = 37,788.95 × 7,662.02
  4. Step 4: Simplify right side
    25,193.57x = 289,539,520.89
  5. Step 5: Solve for x
    x = 289,539,520.89/25,193.57
  6. Step 6: Final answer
    x = 11,492.60

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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.