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Finding the Fourth Proportional to 14,258.14, 19,676.98 and 8,209.28

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Solution

The fourth proportional to 14,258.14, 19,676.98 and 8,209.28 is: 11,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.14 : 19,676.98 = 8,209.28 : x
  2. Step 2: Convert to fraction form
    14,258.14/19,676.98 = 8,209.28/x
  3. Step 3: Cross multiply
    14,258.14x = 19,676.98 × 8,209.28
  4. Step 4: Simplify right side
    14,258.14x = 161,533,851.65
  5. Step 5: Solve for x
    x = 161,533,851.65/14,258.14
  6. Step 6: Final answer
    x = 11,329.23

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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.