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Finding the Fourth Proportional to 18,308.50, 25,265.76 and 9,925

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Solution

The fourth proportional to 18,308.50, 25,265.76 and 9,925 is: 13,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,308.50 : 25,265.76 = 9,925 : x
  2. Step 2: Convert to fraction form
    18,308.50/25,265.76 = 9,925/x
  3. Step 3: Cross multiply
    18,308.50x = 25,265.76 × 9,925
  4. Step 4: Simplify right side
    18,308.50x = 250,762,668.00
  5. Step 5: Solve for x
    x = 250,762,668.00/18,308.50
  6. Step 6: Final answer
    x = 13,696.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.