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Finding the Fourth Proportional to 19,675.90, 29,514.76 and 5,637.99

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Solution

The fourth proportional to 19,675.90, 29,514.76 and 5,637.99 is: 8,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,675.90 : 29,514.76 = 5,637.99 : x
  2. Step 2: Convert to fraction form
    19,675.90/29,514.76 = 5,637.99/x
  3. Step 3: Cross multiply
    19,675.90x = 29,514.76 × 5,637.99
  4. Step 4: Simplify right side
    19,675.90x = 166,403,921.73
  5. Step 5: Solve for x
    x = 166,403,921.73/19,675.90
  6. Step 6: Final answer
    x = 8,457.25

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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.