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Finding the Fourth Proportional to 25,085.50, 37,630.77 and 6,617.50

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Solution

The fourth proportional to 25,085.50, 37,630.77 and 6,617.50 is: 9,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,085.50 : 37,630.77 = 6,617.50 : x
  2. Step 2: Convert to fraction form
    25,085.50/37,630.77 = 6,617.50/x
  3. Step 3: Cross multiply
    25,085.50x = 37,630.77 × 6,617.50
  4. Step 4: Simplify right side
    25,085.50x = 249,021,620.48
  5. Step 5: Solve for x
    x = 249,021,620.48/25,085.50
  6. Step 6: Final answer
    x = 9,926.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.