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Finding the Fourth Proportional to 25,309.06, 37,971.45 and 9,515.50

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Solution

The fourth proportional to 25,309.06, 37,971.45 and 9,515.50 is: 14,276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,309.06 : 37,971.45 = 9,515.50 : x
  2. Step 2: Convert to fraction form
    25,309.06/37,971.45 = 9,515.50/x
  3. Step 3: Cross multiply
    25,309.06x = 37,971.45 × 9,515.50
  4. Step 4: Simplify right side
    25,309.06x = 361,317,332.48
  5. Step 5: Solve for x
    x = 361,317,332.48/25,309.06
  6. Step 6: Final answer
    x = 14,276.21

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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.