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Finding the Fourth Proportional to 19,649.36, 29,478.90 and 9,258.68

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Solution

The fourth proportional to 19,649.36, 29,478.90 and 9,258.68 is: 13,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649.36 : 29,478.90 = 9,258.68 : x
  2. Step 2: Convert to fraction form
    19,649.36/29,478.90 = 9,258.68/x
  3. Step 3: Cross multiply
    19,649.36x = 29,478.90 × 9,258.68
  4. Step 4: Simplify right side
    19,649.36x = 272,935,701.85
  5. Step 5: Solve for x
    x = 272,935,701.85/19,649.36
  6. Step 6: Final answer
    x = 13,890.31

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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.