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Finding the Fourth Proportional to 14,927.75, 20,588.19 and 9,258.56

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Solution

The fourth proportional to 14,927.75, 20,588.19 and 9,258.56 is: 12,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,927.75 : 20,588.19 = 9,258.56 : x
  2. Step 2: Convert to fraction form
    14,927.75/20,588.19 = 9,258.56/x
  3. Step 3: Cross multiply
    14,927.75x = 20,588.19 × 9,258.56
  4. Step 4: Simplify right side
    14,927.75x = 190,616,889.47
  5. Step 5: Solve for x
    x = 190,616,889.47/14,927.75
  6. Step 6: Final answer
    x = 12,769.30

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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.